Directory:Science Publications

1. ^ Peer, bci. "Bibliography, bci", SpringerScience Publications, 2006-08-24. Retrieved on 2007-01-02. 

Bibliography of Category Theory, Algebraic Topology and Quantum Algebraic Topology 1 Adámek, J.. et al., Locally Presentable and Accessible Categories, Cambridge: Cambridge University Press (1994). 2 Alfsen, E.M. and F. W. Schultz: Geometry of State Spaces of Operator Algebras, Birkhäuser, Boston-Basel-Berlin (2003). 3 Atiyah, M.F. 1956. On the Krull-Schmidt theorem with applications to sheaves. Bull. Soc. Math. France, 84: 307-317. 3 Auslander, M. 1965. Coherent Functors. Proc. Conf. Cat. Algebra, La Jolla, 189-231. 4 Awodey, S. & Butz, C., 2000, Topological Completeness for Higher Order Logic., Journal of Symbolic Logic, 65, 3, 1168-1182. 5 Awodey, S. & Reck, E. R., 2002, Completeness and Categoricity I. Nineteen-Century Axiomatics to Twentieth-Century Metalogic., History and Philosophy of Logic, 23, 1, 1-30. 5 Awodey, S. & Reck, E. R., 2002, Completeness and Categoricity II. Twentieth-Century Metalogic to Twenty-first-Century Semantics, History and Philosophy of Logic, 23, 2, 77-94. 6 Awodey, S., 1996, Structure in Mathematics and Logic: A Categorical Perspective, Philosophia Mathematica, 3, 209-237. 7 Awodey, S., 2004, An Answer to Hellman's Question: Does Category Theory Provide a Framework for Mathematical Structuralism., Philosophia Mathematica, 12, 54-64. 8 Awodey, S., 2006, Category Theory, Oxford: Clarendon Press. 9 Baez, J. and Dolan, J., 1998a, Higher-Dimensional Algebra III. n-Categories and the Algebra of Opetopes., Advances in Mathematics, 135, 145-206. 10 Baez, J. and Dolan, J., 1998b, ``Categorification, Higher Category Theory, Contemporary Mathematics, 230, Providence: AMS, 1-36. 11 Baez, J. and Dolan, J., 2001, ``From Finite Sets to Feynman Diagrams, Mathematics Unlimited - 2001 and Beyond, Berlin: Springer, 29-50. 12 Baez, J., 1997, ``An Introduction to n-Categories, Category Theory and Computer Science, Lecture Notes in Computer Science, 1290, Berlin: Springer-Verlag, 1-33. 13 Baianu, I.C. and M. Marinescu: 1968, Organismic Supercategories: Towards a Unitary Theory of Systems. Bulletin of Mathematical Biophysics 30, 148-159. 14 Baianu, I.C.: 1970, Organismic Supercategories: II. On Multistable Systems. Bulletin of Mathematical Biophysics, 32: 539-561. 15 Baianu, I.C.: 1971a, Organismic Supercategories and Qualitative Dynamics of Systems. Ibid., 33 (3), 339-354. 15 Baianu, I.C.: 1971b, Categories, Functors and Quantum Algebraic Computations, in P. Suppes (ed.), Proceed. Fourth Intl. Congress Logic-Mathematics-Philosophy of Science, September 1-4, 1971, Bucharest. 16 Baianu, I.C. and D. Scripcariu: 1973, On Adjoint Dynamical Systems. Bulletin of Mathematical Biophysics, 35(4), 475-486. 17 Baianu, I.C.: 1973, Some Algebraic Properties of (M,R) - Systems. Bulletin of Mathematical Biophysics 35, 213-217. 18 Baianu, I.C. and M. Marinescu: 1974, On A Functorial Construction of (M,R)- Systems. Revue Roumaine de Mathematiques Pures et Appliquees 19: 388-391. 19 Baianu, I.C.: 1977, A Logical Model of Genetic Activities in Łukasiewicz Algebras: The Non-linear Theory. Bulletin of Mathematical Biology, 39: 249-258. 20 Baianu, I.C.: 1980a, Natural Transformations of Organismic Structures., Bulletin of Mathematical Biology,42: 431-446. 20 Baianu, I. C.: 1983, Natural Transformation Models in Molecular Biology., in Proceedings of the SIAM Natl. Meet., Denver,CO.; Eprint at cogprints.org/3675 21 Baianu, I.C., H. S. Gutowsky, and E. Oldfield: 1984, Proc. Natl. Acad. Sci. USA, 81(12): 3713-3717. 20 Baianu, I.C.: 1984, A Molecular-Set-Variable Model of Structural and Regulatory Activities in Metabolic and Genetic Networks, FASEB Proceedings 43, 917. 22 Baianu, I. C.: 1986-1987a, Computer Models and Automata Theory in Biology and Medicine., in M. Witten (ed.), Mathematical Models in Medicine, vol. 7., Ch.11 Pergamon Press, New York, 1513 -1577; URLs: CERN Preprint No. EXT-2004-072 , and html Abstract. 23 Baianu, I. C.: 1987b, Molecular Models of Genetic and Organismic Structures, in Proceed. Relational Biology Symp. Argentina; CERN Preprint No.EXT-2004-067 . 24 Baianu, I.C.: 2004a. Łukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamic Models (2004). Eprint: w. Cogprints at Sussex Univ. 25 Baianu, I.C.: 2004b Łukasiewicz-Topos Models of Neural Networks, Cell Genome and Interactome Nonlinear Dynamics). CERN EXT-2004-059,Health Physics and Radiation Effects , (June 29, 2004). 26 Baianu, I. C., Glazebrook, J. F. and G. Georgescu: 2004, Categories of Quantum Automata and N-Valued Łukasiewicz Algebras in Relation to Dynamic Bionetworks, (M,R)-Systems and Their Higher Dimensional Algebra, Abstract and Preprint of Report. 27 Baianu, I.C.: 2004a, Quantum Nano-Automata (QNA): Microphysical Measurements with Microphysical QNA Instruments, CERN Preprint EXT-2004-125. 28 Baianu, I. C.: 2004b, Quantum Interactomics and Cancer Mechanisms, Preprint 00001978 . 29 Baianu, I. C.: 2006, Robert Rosen's Work and Complex Systems Biology, Axiomathes 16(1-2):25-34. 30 Baianu, I. C., Brown, R. and J. F. Glazebrook: 2006, Quantum Algebraic Topology and Field Theories. Preprint 31 Baianu, I.C.: 2008, Translational Genomics and Human Cancer Interactomics, (invited Review, submitted in November 2007 to Translational Oncogenomics). 32 Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006b, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and Łukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., Axiomathes, 16 Nos. 1-2: 65-122. 33 Baianu, I.C., R. Brown and J.F. Glazebrook. : 2007a, Categorical Ontology of Complex Spacetime Structures: The Emergence of Life and Human Consciousness, Axiomathes, 17: 35-168. 34 Baianu, I.C., R. Brown and J. F. Glazebrook: 2007b, A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity, Axiomathes, 17: 169-225. 35 M. Barr and C. Wells. Toposes, Triples and Theories. Montreal: McGill University, 2000. 36 Barr, M. & Wells, C., 1985, Toposes, Triples and Theories, New York: Springer-Verlag. 37 Barr, M. & Wells, C., 1999, Category Theory for Computing Science, Montreal: CRM. 38 Batanin, M., 1998, Monoidal Globular Categories as a Natural Environment for the Theory of Weak n-Categories", Advances in Mathematics, 136, 39-103. 39 Bell, J. L., 1981, Category Theory and the Foundations of Mathematics, British Journal for the Philosophy of Science, 32, 349-358. 40 Bell, J. L., 1982, Categories, Toposes and Sets, Synthese,51, 3, 293-337. 41 Bell, J. L., 1986, From Absolute to Local Mathematics, Synthese, 69, 3, 409-426. 42 Bell, J. L., 1988, Toposes and Local Set Theories: An Introduction, Oxford: Oxford University Press. 43 Birkoff, G. and Mac Lane, S., 1999, Algebra, 3rd ed., Providence: AMS. 44 Biss, D.K., 2003, Which Functor is the Projective Line?, American Mathematical Monthly, 110, 7, 574-592. 45 Blass, A. and Scedrov, A., 1983, Classifying Topoi and Finite Forcing , Journal of Pure and Applied Algebra, 28, 111-140. 46 Blass, A. and Scedrov, A., 1989, Freyd's Model for the Independence of the Axiom of Choice, Providence: AMS. 47 Blass, A. and Scedrov, A., 1992, Complete Topoi Representing Models of Set Theory, Annals of Pure and Applied Logic , 57, no. 1, 1-26. 48 Blass, A., 1984, The Interaction Between Category Theory and Set Theory., Mathematical Applications of Category Theory, 30, Providence: AMS, 5-29. 49 Blute, R. & Scott, P., 2004, Category Theory for Linear Logicians., in Linear Logic in Computer Science 50 Borceux, F.: 1994, Handbook of Categorical Algebra, vols: 1-3, in Encyclopedia of Mathematics and its Applications 50 to 52, Cambridge University Press. 51 Bourbaki, N. 1961 and 1964: Algèbre commutative., in Éléments de Mathématique., Chs. 1-6., Hermann: Paris. 52 R. Brown: Topology and Groupoids, BookSurge LLC (2006). 53 Brown, R. and G. Janelidze: 2004, Galois theory and a new homotopy double groupoid of a map of spaces, Applied Categorical Structures 12: 63-80. 54 Brown, R., Higgins, P. J. and R. Sivera,: 2007a, Non-Abelian Algebraic Topology, in preparation. http://www.bangor.ac.uk/ mas010/nonab-a-t.html ; http://www.bangor.ac.uk/ mas010/nonab-t/partI010604.pdf 55 Brown, R., Glazebrook, J. F. and I.C. Baianu.: 2007b, A Conceptual, Categorical and Higher Dimensional Algebra Framework of Universal Ontology and the Theory of Levels for Highly Complex Structures and Dynamics., Axiomathes (17): 321-379. 56 Brown, R., Paton, R. and T. Porter.: 2004, Categorical language and hierarchical models for cell systems, in Computation in Cells and Tissues - Perspectives and Tools of Thought, Paton, R.; Bolouri, H.; Holcombe, M.; Parish, J.H.; Tateson, R. (Eds.) Natural Computing Series, Springer Verlag, 289-303. 57 Brown R. and T. Porter: 2003, Category theory and higher dimensional algebra: potential descriptive tools in neuroscience, In: Proceedings of the International Conference on Theoretical Neurobiology, Delhi, February 2003, edited by Nandini Singh, National Brain Research Centre, Conference Proceedings 1, 80-92. 58 Brown, R., Hardie, K., Kamps, H. and T. Porter: 2002, The homotopy double groupoid of a Hausdorff space., Theory and Applications of Categories 10, 71-93. 59 Brown, R., and Hardy, J.P.L.:1976, Topological groupoids I: universal constructions, Math. Nachr., 71: 273-286. 60 Brown, R. and T. Porter: 2006, Category Theory: an abstract setting for analogy and comparison, In: What is Category Theory?, Advanced Studies in Mathematics and Logic, Polimetrica Publisher, Italy, (2006) 257-274. 61 Brown, R. and Spencer, C.B.: 1976, Double groupoids and crossed modules, Cah. Top. Géom. Diff. 17, 343-362. 62 Brown R, and Porter T (2006) Category theory: an abstract setting for analogy and comparison. In: What is category theory? Advanced studies in mathematics and logic. Polimetrica Publisher, Italy, pp. 257-274. 63 Brown R, Razak Salleh A (1999) Free crossed resolutions of groups and presentations of modules of identities among relations. LMS J. Comput. Math., 2: 25-61. 64 Buchsbaum, D. A.: 1955, Exact categories and duality., Trans. Amer. Math. Soc. 80: 1-34. 64 Buchsbaum, D. A.: 1969, A note on homology in categories., Ann. of Math. 69: 66-74. 65 Bucur, I. (1965). Homological Algebra. (orig. title: ``Algebra Omologica) Ed. Didactica si Pedagogica: Bucharest. 66 Bucur, I., and Deleanu A. (1968). Introduction to the Theory of Categories and Functors. J.Wiley and Sons: London 67 Bunge, M. and S. Lack: 2003, Van Kampen theorems for toposes, Adv. in Math. 179, 291-317. 68 Bunge, M., 1974, "Topos Theory and Souslin's Hypothesis", Journal of Pure and Applied Algebra, 4, 159-187. 69 Bunge, M., 1984, "Toposes in Logic and Logic in Toposes", Topoi, 3, no. 1, 13-22. 70 Bunge M, Lack S (2003) Van Kampen theorems for toposes. Adv Math, 179: 291-317. 71 Butterfield J., Isham C.J. (2001) Spacetime and the philosophical challenges of quantum gravity. In: Callender C, Hugget N (eds) Physics meets philosophy at the Planck scale. Cambridge University Press, pp 33-89. 72 Butterfield J., Isham C.J. 1998, 1999, 2000-2002, A topos perspective on the Kochen-Specker theorem I-IV, Int J Theor Phys 37(11):2669-2733; 38(3):827-859; 39(6):1413-1436; 41(4): 613-639. 73 Cartan, H. and Eilenberg, S. 1956. Homological Algebra, Princeton Univ. Press: Pinceton. 74 M. Chaician and A. Demichev. 1996. Introduction to Quantum Groups, World Scientific . 75 Chevalley, C. 1946. The theory of Lie groups. Princeton University Press, Princeton NJ 76 Cohen, P.M. 1965. Universal Algebra, Harper and Row: New York, london and Tokyo. 77 Comoroshan S, and Baianu I.C. 1969. Abstract representations of biological systems in organismic supercategories: II. Limits and colimits.Bull Math Biophys 31: 84-93. 78 M. Crainic and R. Fernandes.2003. Integrability of Lie brackets, Ann.of Math. 157: 575-620. 79 Connes A 1994. Noncommutative geometry. Academic Press: New York. 80 Croisot, R. and Lesieur, L. 1963. Algèbre noethérienne non-commutative., Gauthier-Villard: Paris. 81 Crole, R.L., 1994, Categories for Types, Cambridge: Cambridge University Press. 82 Couture, J. & Lambek, J., 1991, Philosophical Reflections on the Foundations of Mathematics, Erkenntnis, 34, 2, 187-209. 83 Dieudonné, J. & Grothendieck, A., 1960, [1971], Éléments de Géométrie Algébrique, Berlin: Springer-Verlag. 84 Dirac, P. A. M., 1930, The Principles of Quantum Mechanics, Oxford: Clarendon Press. 85 Dirac, P. A. M., 1933, The Lagrangian in Quantum Mechanics, Physikalische Zeitschrift der Sowietunion, 3: 64-72. 86 Dirac, P. A. M.,, 1943, Quantum Electrodynamics, Communications of the Dublin Institute for Advanced Studies, A1: 1-36. 87 Dixmier, J., 1981, Von Neumann Algebras, Amsterdam: North-Holland Publishing Company. [First published in French in 1957: Les Algebres d'Operateurs dans l'Espace Hilbertien, Paris: Gauthier-Villars.] 88 M. Durdevich : Geometry of quantum principal bundles I, Commun. Math. Phys. 175 (3) (1996), 457-521. 89 M. Durdevich : Geometry of quantum principal bundles II, Rev. Math. Phys. 9 (5) (1997), 531-607. 90 Ehresmann, C.: 1965, Catégories et Structures, Dunod, Paris. 90 Ehresmann, C.: 1966, Trends Toward Unity in Mathematics., Cahiers de Topologie et Geometrie Differentielle 8: 1-7. 91 Ehresmann, C.: 1952, Structures locales et structures infinitésimales, C.R.A.S. Paris 274: 587-589. 92 Ehresmann, C.: 1959, Catégories topologiques et catégories différentiables, Coll. Géom. Diff. Glob. Bruxelles, pp.137-150. 93 Ehresmann, C.:1963, Catégories doubles des quintettes: applications covariantes , C.R.A.S. Paris, 256: 1891-1894. 94 Ehresmann, A. C. & Vanbremeersch, J-P., 1987, "Hierarchical Evolutive Systems: a Mathematical Model for Complex Systems", Bulletin of Mathematical Biology, 49, no. 1, 13-50. 95 Ehresmann, C.: 1984, Oeuvres complètes et commentées: Amiens, 1980-84, edited and commented by Andrée Ehresmann. 96 Ehresmann, A. C. and J.-P. Vanbremersch: 1987, Hierarchical Evolutive Systems: A mathematical model for complex systems, Bull. of Math. Biol. 49 (1): 13-50. 97 Ehresmann, A. C. and J.-P. Vanbremersch: 2006, The Memory Evolutive Systems as a model of Rosen's Organisms, Axiomathes 16 (1-2): 13-50. 98 Eilenberg, S. and S. Mac Lane.: 1942, Natural Isomorphisms in Group Theory., American Mathematical Society 43: 757-831. 99 Eilenberg, S. and S. Mac Lane: 1945, The General Theory of Natural Equivalences, Transactions of the American Mathematical Society 58: 231-294. 100 Eilenberg, S. & Cartan, H., 1956, Homological Algebra, Princeton: Princeton University Press. 101 Eilenberg, S. & MacLane, S., 1942, "Group Extensions and Homology", Annals of Mathematics, 43, 757-831. 102 Eilenberg, S. & Steenrod, N., 1952, Foundations of Algebraic Topology, Princeton: Princeton University Press. 103 Eilenberg, S.: 1960. Abstract description of some basic functors., J. Indian Math.Soc., 24 :221-234. 104 S.Eilenberg. Relations between Homology and Homotopy Groups. Proc.Natl.Acad.Sci.USA (1966),v:10-14. 105 Ellerman, D., 1988, "Category Theory and Concrete Universals", Synthese, 28, 409-429. 106 Z. F. Ezawa, G. Tsitsishvilli and K. Hasebe : Noncommutative geometry, extended algebra and Grassmannian solitons in multicomponent Hall systems, arXiv:hep-th/0209198. 107 Feferman, S., 1977, "Categorical Foundations and Foundations of Category Theory", Logic, Foundations of Mathematics and Computability, R. Butts (ed.), Reidel, 149-169. 108 Fell, J. M. G., 1960, “The Dual Spaces of C*-Algebrasâ€, Transactions of the American Mathematical Society, 94: 365-403. 109 Feynman, R. P., 1948, “Space-Time Approach to Non-Relativistic Quantum Mechanicsâ€, Reviews of Modern Physics, 20: 367–387. [It is reprinted in (Schwinger 1958).] 110 Freyd, P., 1960. Functor Theory (Dissertation). Princeton University, Princeton, New Jersey. 111 Freyd, P., 1963, Relative homological algebra made absolute. , Proc. Natl. Acad. USA, 49:19-20. 112 Freyd, P., 1964, Abelian Categories. An Introduction to the Theory of Functors, New York and London: Harper and Row. 113 Freyd, P., 1965, The Theories of Functors and Models., Theories of Models, Amsterdam: North Holland, 107-120. 114 Freyd, P., 1966, Algebra-valued Functors in general categories and tensor product in particular., Colloq. Mat. 14: 89-105. 115 Freyd, P., 1972, Aspects of Topoi,Bulletin of the Australian Mathematical Society, 7: 1-76. 116 Freyd, P., 1980, "The Axiom of Choice", Journal of Pure and Applied Algebra, 19, 103-125. 117 Freyd, P., 1987, "Choice and Well-Ordering", Annals of Pure and Applied Logic, 35, 2, 149-166. 118 Freyd, P., 1990, Categories, Allegories, Amsterdam: North Holland. 119 Freyd, P., 2002, "Cartesian Logic", Theoretical Computer Science, 278, no. 1-2, 3-21. 120 Freyd, P., Friedman, H. & Scedrov, A., 1987, "Lindembaum Algebras of Intuitionistic Theories and Free Categories", Annals of Pure and Applied Logic, 35, 2, 167-172. 121 Gablot, R. 1971. Sur deux classes de catégories de Grothendieck. Thesis.. Univ. de Lille. 122 Gabriel, P.: 1962, Des catégories abéliennes, Bull. Soc. Math. France 90: 323-448. 123 Gabriel, P. and M.Zisman:. 1967: Category of fractions and homotopy theory, Ergebnesse der math. Springer: Berlin. 124 Gabriel, P. and N. Popescu: 1964, Caractérisation des catégories abéliennes avec générateurs et limites inductives. , CRAS Paris 258: 4188-4191. 125 Galli, A. & Reyes, G. & Sagastume, M., 2000, "Completeness Theorems via the Double Dual Functor", Studia Logical, 64, no. 1, 61-81. 126 Gelfan'd, I. and Naimark, M., 1943, “On the Imbedding of Normed Rings into the Ring of Operators in Hilbert Spaceâ€, Recueil Mathématique [Matematicheskii Sbornik] Nouvelle Série, 12 [54]: 197-213. [Reprinted in C*-algebras: 1943-1993, in the series Contemporary Mathematics, 167, Providence, R.I. : American Mathematical Society, 1994.] 127 Georgescu, G. and C. Vraciu 1970. "On the Characterization of Łukasiewicz Algebras." J Algebra, 16 (4), 486-495. 128 Ghilardi, S. & Zawadowski, M., 2002, Sheaves, Games & Model Completions: A Categorical Approach to Nonclassical Porpositional Logics, Dordrecht: Kluwer. 129 Ghilardi, S., 1989, "Presheaf Semantics and Independence Results for some Non-classical first-order logics", Archive for Mathematical Logic, 29, no. 2, 125-136. 130 Goblot, R., 1968, Catégories modulaires , C. R. Acad. Sci. Paris, Série A., 267: 381-383. 131 Goblot, R., 1971, Sur deux classes de catégories de Grothendieck, Thèse., Univ. Lille, 1971. 132 Goldblatt, R., 1979, Topoi: The Categorical Analysis of Logic, Studies in logic and the foundations of mathematics, Amsterdam: Elsevier North-Holland Publ. Comp. 133 Goldie, A. W., 1964, Localization in non-commutative noetherian rings, J.Algebra, 1: 286-297. 134 Godement,R. 1958. Théorie des faisceaux. Hermann: Paris. 135 Gray, C. W.: 1965. Sheaves with values in a category.,Topology, 3: 1-18. 136 Grothendieck, A.: 1971, Revêtements Étales et Groupe Fondamental (SGA1), chapter VI: Catégories fibrées et descente, Lecture Notes in Math. 224, Springer-Verlag: Berlin. 137 Grothendieck, A.: 1957, Sur quelque point d-algébre homologique. , Tohoku Math. J., 9: 119-121. 138 Grothendieck, A. and J. Dieudoné.: 1960, Eléments de geometrie algébrique., Publ. Inst. des Hautes Etudes de Science, 4. 139 Grothendieck, A. et al., Séminaire de Géométrie Algébrique, Vol. 1-7, Berlin: Springer-Verlag. 140 Grothendieck, A., 1957, "Sur Quelques Points d'algèbre homologique", Tohoku Mathematics Journal, 9, 119-221. 141 Groups Authors: João Faria Martins, Timothy Porter., On Yetter's Invariant and an Extension of the Dijkgraaf-Witten Invariant to Categorical . 142 Gruson, L, 1966, Complétion abélienne. Bull. Math.Soc. France, 90: 17-40. 143 K.A. Hardie, K.H. Kamps and R.W. Kieboom, A homotopy 2–-groupoid of a Hausdorff space, Applied Cat. Structures 8 (2000), 209–-234. 144 Hatcher, W. S., 1982, The Logical Foundations of Mathematics, Oxford: Pergamon Press. 145 Healy, M. J., 2000, ``Category Theory Applied to Neural Modeling and Graphical Representations", Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks: IJCNN200, Como, vol. 3, M. Gori, S-I. Amari, C. L. Giles, V. Piuri, eds., IEEE Computer Science Press, 35-40. 146 Heller, A. :1958, Homological algebra in Abelian categories., Ann. of Math. 68: 484-525. 147 Heller, A. and K. A. Rowe.:1962, On the category of sheaves., Amer J. Math. 84: 205-216. 148 Hellman, G., 2003, "Does Category Theory Provide a Framework for Mathematical Structuralism?", Philosophia Mathematica, 11, 2, 129-157. 149 Hermida, C. & Makkai, M. & Power, J., 2000, ``On Weak Higher-dimensional Categories I", Journal of Pure and Applied Algebra, 154, no. 1-3, 221-246. 150 Hermida, C. & Makkai, M. & Power, J., 2001, ``On Weak Higher-dimensional Categories 2", Journal of Pure and Applied Algebra, 157, no. 2-3, 247-277. 151 Hermida, C. & Makkai, M. & Power, J., 2002, ``On Weak Higher-dimensional Categories 3", Journal of Pure and Applied Algebra, 166, no. 1-2, 83-104. 152 Higgins, P. J.: 2005, Categories and groupoids, Van Nostrand Mathematical Studies: 32, (1971); Reprints in Theory and Applications of Categories, No. 7: 1-195. 153 Higgins, Philip J. Thin elements and commutative shells in cubical -categories. Theory Appl. Categ. 14 (2005), No. 4, 60-74 (electronic). (Reviewer: Timothy Porter) 18D05. 154 Hyland, J.M.E. & Robinson, E.P. & Rosolini, G., 1990, ``The Discrete Objects in the Effective Topos", Proceedings of the London Mathematical Society (3), 60, no. 1, 1-36. 155 Hyland, J.M.E., 1982, ``The Effective Topos", Studies in Logic and the Foundations of Mathematics, 110, Amsterdam: North Holland, 165-216. 156 Hyland, J. M..E., 1988, ``A Small Complete Category", Annals of Pure and Applied Logic, 40, no. 2, 135-165. 157 Hyland, J. M .E., 1991, ``First Steps in Synthetic Domain Theory", Category Theory (Como 1990), Lecture Notes in Mathematics, 1488, Berlin: Springer, 131-156. 158 Hyland, J. M.E., 2002, ``Proof Theory in the Abstract", Annals of Pure and Applied Logic, 114, no. 1-3, 43-78. 159 E.Hurewicz. CW Complexes.Trans AMS.1955. 160 Ionescu, Th., R. Parvan and I. Baianu, 1970, C. R. Acad. Sci. Paris, Série A., 269: 112-116, communiquée par Louis Néel. 161 C. J. Isham : A new approach to quantising space-time: I. quantising on a general category, Adv. Theor. Math. Phys. 7 (2003), 331-367. 162 Jacobs, B., 1999, Categorical Logic and Type Theory, Amsterdam: North Holland. 163 Johnstone, P. T., 1977, Topos Theory, New York: Academic Press. 164 Johnstone, P. T., 1979a, ``Conditions Related to De Morgan's Law", Applications of Sheaves, Lecture Notes in Mathematics, 753, Berlin: Springer, 479-491. 165 Johnstone, P.T., 1979b, ``Another Condition Equivalent to De Morgan's Law", Communications in Algebra, 7, no. 12, 1309-1312. 166 Johnstone, P. T., 1981, ``Tychonoff's Theorem without the Axiom of Choice", Fundamenta Mathematicae, 113, no. 1, 21-35. 167 Johnstone, P. T., 1982, Stone Spaces, Cambridge:Cambridge University Press. 168 Johnstone, P. T., 1985, ``How General is a Generalized Space?", Aspects of Topology, Cambridge: Cambridge University Press, 77-111. 169 Johnstone, P. T., 2002a, Sketches of an Elephant: a Topos Theory Compendium. Vol. 1, Oxford Logic Guides, 43, Oxford: Oxford University Press. 170 Joyal, A. & Moerdijk, I., 1995, Algebraic Set Theory, Cambridge: Cambridge University Press. 171 Van Kampen, E. H.: 1933, On the Connection Between the Fundamental Groups of some Related Spaces, Amer. J. Math. 55: 261-267 172 Kan, D. M., 1958, ``Adjoint Functors", Transactions of the American Mathematical Society, 87, 294-329. 173 Kleisli, H.: 1962, Homotopy theory in Abelian categories.,Can. J. Math., 14: 139-169. 174 Knight, J.T., 1970, On epimorphisms of non-commutative rings., Proc. Cambridge Phil. Soc., 25: 266-271. 175 Kock, A., 1981, Synthetic Differential Geometry, London Mathematical Society Lecture Note Series, 51, Cambridge: Cambridge University Press. 176 S. Kobayashi and K. Nomizu : Foundations of Differential Geometry Vol I., Wiley Interscience, New York-London 1963. 177 H. Krips : Measurement in Quantum Theory, The Stanford Encyclopedia of Philosophy (Winter 1999 Edition), Edward N. Zalta (ed.), 178 Lam, T. Y., 1966, The category of noetherian modules, Proc. Natl. Acad. Sci. USA, 55: 1038-104. 179 Lambek, J. & Scott, P. J., 1981, ``Intuitionistic Type Theory and Foundations", Journal of Philosophical Logic, 10, 1, 101-115. 180 Lambek, J. & Scott, P.J., 1986, Introduction to Higher Order Categorical Logic, Cambridge: Cambridge University Press. 181 Lambek, J., 1968, ``Deductive Systems and Categories I. Syntactic Calculus and Residuated Categories", Mathematical Systems Theory, 2, 287-318. 182 Lambek, J., 1969, ``Deductive Systems and Categories II. Standard Constructions and Closed Categories", Category Theory, Homology Theory and their Applications I, Berlin: Springer, 76-122. 183 Lambek, J., 1972, ``Deductive Systems and Categories III. Cartesian Closed Categories, Intuitionistic Propositional Calculus, and Combinatory Logic", Toposes, Algebraic Geometry and Logic, Lecture Notes in Mathematics, 274, Berlin: Springer, 57-82. 184 Lambek, J., 1982, ``The Influence of Heraclitus on Modern Mathematics", Scientific Philosophy Today, J. Agassi and R.S. Cohen, eds., Dordrecht, Reidel, 111-122. 185 Lambek, J., 1986, ``Cartesian Closed Categories and Typed lambda calculi", Combinators and Functional Programming Languages, Lecture Notes in Computer Science, 242, Berlin: Springer, 136-175. 186 Lambek, J., 1989A, ``On Some Connections Between Logic and Category Theory", Studia Logica, 48, 3, 269-278. 187 Lambek, J., 1989B, ``On the Sheaf of Possible Worlds", Categorical Topology and its relation to Analysis, Algebra and Combinatorics, Teaneck: World Scientific Publishing, 36-53. 188 Lambek, J., 1994a, ``Some Aspects of Categorical Logic", Logic, Methodology and Philosophy of Science IX, Studies in Logic and the Foundations of Mathematics 134, Amsterdam: North Holland, 69-89. 189 Lambek, J., 1994b, ``What is a Deductive System?", What is a Logical System?, Studies in Logic and Computation, 4, Oxford: Oxford University Press, 141-159. 190 Lambek, J., 2004, ``What is the world of Mathematics? Provinces of Logic Determined", Annals of Pure and Applied Logic, 126(1-3), 149-158. 191 Lambek, J. and P. J. Scott. Introduction to higher order categorical logic. Cambridge University Press, 1986. 192 E. C. Lance : Hilbert C*-Modules. London Math. Soc. Lect. Notes 210, Cambridge Univ. Press. 1995. 193 Landry, E. & Marquis, J.-P., 2005, ``Categories in Context: Historical, Foundational and philosophical", Philosophia Mathematica, 13, 1-43. 194 Landry, E., 1999, ``Category Theory: the Language of Mathematics", Philosophy of Science, 66, 3: supplement, S14-S27. 194 Landry, E., 2001, ``Logicism, Structuralism and Objectivity", Topoi, 20, 1, 79-95. 195 Landsman, N. P.: 1998, Mathematical Topics between Classical and Quantum Mechanics, Springer Verlag: New York. 196 N. P. Landsman : Mathematical topics between classical and quantum mechanics. Springer Verlag, New York, 1998. 197 N. P. Landsman : Compact quantum groupoids, arXiv:math—ph/9912006 198 La Palme Reyes, M., et. al., 1994, ``The non-Boolean Logic of Natural Language Negation", Philosophia Mathematica, 2, no. 1, 45-68. 199 La Palme Reyes, M., et. al., 1999, ``Count Nouns, Mass Nouns, and their Transformations: a Unified Category-theoretic Semantics", Language, Logic and Concepts, Cambridge: MIT Press, 427-452. 200 Lawvere, F. W., 1964, ``An Elementary Theory of the Category of Sets", Proceedings of the National Academy of Sciences U.S.A., 52, 1506-1511. 201 Lawvere, F. W., 1965, ``Algebraic Theories, Algebraic Categories, and Algebraic Functors", Theory of Models, Amsterdam: North Holland, 413-418. 202 Lawvere, F. W., 1966, ``The Category of Categories as a Foundation for Mathematics", Proceedings of the Conference on Categorical Algebra, La Jolla, New York: Springer-Verlag, 1-21. 203 Lawvere, F. W., 1969a, ``Diagonal Arguments and Cartesian Closed Categories", Category Theory, Homology Theory, and their Applications II, Berlin: Springer, 134-145. 204 Lawvere, F. W., 1969b, ``Adjointness in Foundations", Dialectica, 23, 281-295. 205 Lawvere, F. W., 1970, ``Equality in Hyper doctrines and Comprehension Schema as an Adjoint Functor", Applications of Categorical Algebra, Providence: AMS, 1-14. 206 Lawvere, F. W., 1971, ``Quantifiers and Sheaves", Actes du Congrès International des Mathématiciens, Tome 1, Paris: Gauthier-Villars, 329-334. 207 Lawvere, F. W., 1972, ``Introduction", Toposes, Algebraic Geometry and Logic, Lecture Notes in Mathematics, 274, Springer-Verlag, 1-12. 208 Lawvere, F. W., 1975, ``Continuously Variable Sets: Algebraic Geometry = Geometric Logic", Proceedings of the Logic Colloquium Bristol 1973, Amsterdam: North Holland, 135-153. 209 Lawvere, F. W., 1976, "Variable Quantities and Variable Structures in Topoi", Algebra, Topology, and Category Theory, New York: Academic Press, 101-131. 210 Lawvere, F. W. & Schanuel, S., 1997, Conceptual Mathematics: A First Introduction to Categories, Cambridge: Cambridge University Press. 202 Lawvere, F. W.: 1966, The Category of Categories as a Foundation for Mathematics., in Proc. Conf. Categorical Algebra- La Jolla., Eilenberg, S. et al., eds. Springer-Verlag: Berlin, Heidelberg and New York., pp. 1-20. 211 Lawvere, F. W.: 1963, Functorial Semantics of Algebraic Theories, Proc. Natl. Acad. Sci. USA, Mathematics, 50: 869-872. 212 Lawvere, F. W.: 1969, Closed Cartesian Categories., Lecture held as a guest of the Romanian Academy of Sciences, Bucharest. 213 Lawvere, F. W., 1992, ``Categories of Space and of Quantity", The Space of Mathematics, Foundations of Communication and Cognition, Berlin: De Gruyter, 14-30. 214 Lawvere, F. W., 1994a, ``Cohesive Toposes and Cantor's lauter Ensein ", Philosophia Mathematica, 2, 1, 5-15. 215 Lawvere, F. W., 1994b, ``Tools for the Advancement of Objective Logic: Closed Categories and Toposes", The Logical Foundations of Cognition, Vancouver Studies in Cognitive Science, 4, Oxford: Oxford University Press, 43-56. 216 Lawvere, H. W (ed.), 1995. Springer Lecture Notes in Mathematics 274,:13-42. 217 Lawvere, F. W., 2000, ``Comments on the Development of Topos Theory", Development of Mathematics 1950-2000, Basel: Birkhäuser, 715-734. 218 Lawvere, F. W., 2002, "Categorical Algebra for Continuum Micro Physics", Journal of Pure and Applied Algebra, 175, no. 1-3, 267-287. 219 Lawvere, F. W. & Rosebrugh, R., 2003, Sets for Mathematics, Cambridge: Cambridge University Press. 220 Lawvere, F. W., 2003, ``Foundations and Applications: Axiomatization and Education. New Programs and Open Problems in the Foundation of Mathematics", Bullentin of Symbolic Logic, 9, 2, 213-224. 211 Lawvere, F.W., 1963, ``Functorial Semantics of Algebraic Theories", Proceedings of the National Academy of Sciences U.S.A., 50, 869-872. 221 Leinster, T., 2002, ``A Survey of Definitions of -categories", Theory and Applications of Categories, (electronic), 10, 1-70. 222 Li, M. and P. Vitanyi: 1997, An introduction to Kolmogorov Complexity and its Applications, Springer Verlag: New York. 223 Löfgren, L.: 1968, An Axiomatic Explanation of Complete Self-Reproduction, Bulletin of Mathematical Biophysics, 30: 317-348 224 Lubkin, S., 1960. Imbedding of abelian categories., Trans. Amer. Math. Soc., 97: 410-417. 225 Luisi, P. L. and F. J. Varela: 1988, Self-replicating micelles a chemical version of a minimal autopoietic system. Origins of Life and Evolution of Biospheres 19(6):633-643. 226 K. C. H. Mackenzie : Lie Groupoids and Lie Algebroids in Differential Geometry, LMS Lect. Notes 124, Cambridge University Press, 1987 227 MacLane, S.: 1948. Groups, categories, and duality., Proc. Natl. Acad. Sci.U.S.A, 34: 263-267. 228 MacLane, S., 1969, ``Foundations for Categories and Sets", Category Theory, Homology Theory and their Applications II, Berlin: Springer, 146-164. 229 MacLane, S., 1969, ``One Universe as a Foundation for Category Theory", Reports of the Midwest Category Seminar III, Berlin: Springer, 192-200. 230 MacLane, S., 1971, ``Categorical algebra and Set-Theoretic Foundations", Axiomatic Set Theory, Providence: AMS, 231-240. 231 MacLane, S., 1975, ``Sets, Topoi, and Internal Logic in Categories", Studies in Logic and the Foundations of Mathematics, 80, Amsterdam: North Holland, 119-134. 232 MacLane, S., 1981, ``Mathematical Models: a Sketch for the Philosophy of Mathematics", American Mathematical Monthly, 88, 7, 462-472. 233 MacLane, S., 1986, Mathematics, Form and Function, New York: Springer. 234 MacLane, S., 1988, "Concepts and Categories in Perspective", A Century of Mathematics in America, Part I, Providence: AMS, 323-365. 235 MacLane, S., 1989, "The Development of Mathematical Ideas by Collision: the Case of Categories and Topos Theory", Categorical Topology and its Relation to Analysis, Algebra and Combinatorics, Teaneck: World Scientific, 1-9. 236 S. Maclane and I. Moerdijk : Sheaves in Geometry and Logic - A first Introduction to Topos Theory, Springer Verlag, New York 1992. 237 MacLane, S., 1950, "Dualities for Groups", Bulletin of the American Mathematical Society, 56, 485-516. 238 MacLane, S., 1996, Structure in Mathematics. Mathematical Structuralism., Philosophia Mathematica, 4, 2, 174-183. 239 MacLane, S., 1997, Categories for the Working Mathematician, 2nd edition, New York: Springer-Verlag. 240 MacLane, S., 1997, Categorical Foundations of the Protean Character of Mathematics., Philosophy of Mathematics Today, Dordrecht: Kluwer, 117-122. 241 MacLane, S., and I. Moerdijk. Sheaves and Geometry in Logic: A First Introduction to Topos Theory, Springer-Verlag, 1992. 242 Majid, S.: 1995, Foundations of Quantum Group Theory, Cambridge Univ. Press: Cambridge, UK. 243 Majid, S.: 2002, A Quantum Groups Primer, Cambridge Univ.Press: Cambridge, UK. 244 Makkai, M. & Paré, R., 1989, Accessible Categories: the Foundations of Categorical Model Theory, Contemporary Mathematics 104, Providence: AMS. 245 Makkai, M., 1998, "Towards a Categorical Foundation of Mathematics", Lecture Notes in Logic, 11, Berlin: Springer, 153-190. 246 Makkai, M., 1999, "On Structuralism in Mathematics", Language, Logic and Concepts, Cambridge: MIT Press, 43-66. 247 Makkai, M. & Reyes, G., 1977, First-Order Categorical Logic, Springer Lecture Notes in Mathematics 611, New York: Springer. 245 Makkai, M., 1998, "Towards a Categorical Foundation of Mathematics", Lecture Notes in Logic, 11, Berlin: Springer, 153-190. 246 Makkai, M., 1999, "On Structuralism in Mathematics", Language, Logic and Concepts, Cambridge: MIT Press, 43-66. 244 Makkei, M. & Reyes, G., 1995, "Completeness Results for Intuitionistic and Modal Logic in a Categorical Setting", Annals of Pure and Applied Logic, 72, 1, 25-101. 248 Mallios, A. and I. Raptis: 2003, Finitary, Causal and Quantal Vacuum Einstein Gravity, Int. J. Theor. Phys. 42: 1479. 249 Manders, K.L.: 1982, On the space-time ontology of physical theories, Philosophy of Science 49 no. 4: 575-590. 250 Marquis, J.-P., 1993, "Russell's Logicism and Categorical Logicisms", Russell and Analytic Philosophy, A. D. Irvine & G. A. Wedekind, (eds.), Toronto, University of Toronto Press, 293-324. 251 Marquis, J.-P., 1995, Category Theory and the Foundations of Mathematics: Philosophical Excavations., Synthese, 103, 421-447. 252 Marquis, J.-P., 2000, "Three Kinds of Universals in Mathematics?", Logical Consequence: Rival Approaches and New Studies in Exact Philosophy: Logic, Mathematics and Science, Vol. 2, Oxford: Hermes, 191-212. 253 Marquis, J.-P., 2000, "Three Kinds of Universals in Mathematics?", in Logical Consequence: Rival Approaches and New Studies in Exact Philosophy: Logic, Mathematics and Science, Vol. II, B. Brown & J. Woods, eds., Oxford: Hermes, 191-212, 2000 , 254 Marquis, J.-P., 2006, "Categories, Sets and the Nature of Mathematical Entities", in The Age of Alternative Logics. Assessing philosophy of logic and mathematics today, J. van Benthem, G. Heinzmann, Ph. Nabonnand, M. Rebuschi, H.Visser, eds., Springer,181-192. 255 Martins, J. F and T. Porter: 2004, On Yetter's Invariant and an Extension of the Dijkgraaf-Witten Invariant to Categorical Groups, math.QA/0608484 256 Maturana, H. R. and F. J. Varela: 1980, Autopoiesis and Cognition-The Realization of the Living, Boston Studies in the Philosophy of Science Vol. 42, Reidel Pub. Co.: Dordrecht. 257 May, J.P. 1999, A Concise Course in Algebraic Topology, The University of Chicago Press: Chicago. 258 McCulloch, W. and W. Pitt.: 1943, A logical Calculus of Ideas Immanent in Nervous Activity., Bull. Math. Biophysics, 5: 115-133. 259 Mc Larty, C., 1986, "Left Exact Logic", Journal of Pure and Applied Algebra, 41, no. 1, 63-66. 260 Mc Larty, C., 1991, "Axiomatizing a Category of Categories", Journal of Symbolic Logic, 56, no. 4, 1243-1260. 261 Mc Larty, C., 1992, Elementary Categories, Elementary Toposes, Oxford: Oxford University Press. 262 Mc Larty, C., 1994, "Category Theory in Real Time", Philosophia Mathematica, 2, no. 1, 36-44. 263 Mc Larty, C., 2004, "Exploring Categorical Structuralism", Philosophia Mathematica, 12, 37-53. 264 Mc Larty, C., 2005, "Learning from Questions on Categorical Foundations", Philosophia Mathematica, 13, 1, 44-60. 265 Misra, B., I. Prigogine and M. Courbage.: 1979, Lyaponouv variables: Entropy and measurement in quantum mechanics, Proc. Natl. Acad. Sci. USA 78 (10): 4768-4772. 266 Mitchell, B.: 1965, Theory of Categories, Academic Press:London. 267 Mitchell, B.: 1964, The full imbedding theorem. Amer. J. Math. 86: 619-637. 268 Moerdijk, I. & Palmgren, E., 2002, Type Theories, Toposes and Constructive Set Theory: Predicative Aspects of AST., Annals of Pure and Applied Logic, 114, no. 1-3, 155-201. 269 Moerdijk, I., 1998, Sets, Topoi and Intuitionism., Philosophia Mathematica, 6, no. 2, 169—177. 270 I. Moerdijk : Classifying toposes and foliations, Ann. Inst. Fourier, Grenoble 41, 1 (1991) 189-209. 271 I. Moerdijk : Introduction to the language of stacks and gerbes, arXiv:math.AT/0212266 (2002). 272 Morita, K. 1962. Category isomorphism and endomorphism rings of modules, Trans. Amer. Math. Soc., 103: 451-469. 273 Morita, K. , 1970. Localization in categories of modules. I., Math. Z., 114: 121-144. 274 M. A. Mostow : The differentiable space structure of Milnor classifying spaces, simplicial complexes, and geometric realizations, J. Diff. Geom. 14 (1979) 255-293. 275 Oberst, U.: 1969, Duality theory for Grothendieck categories., Bull. Amer. Math. Soc. 75: 1401-1408. 276 Oort, F.: 1970. On the definition of an abelian category. Proc. Roy. Neth. Acad. Sci. 70: 13-02. 277 Ore, O., 1931, Linear equations on non-commutative fields, Ann. Math. 32: 463-477. 278 Penrose, R.: 1994, Shadows of the Mind, Oxford University Press: Oxford. 279 Plymen, R.J. and P. L. Robinson: 1994, Spinors in Hilbert Space, Cambridge Tracts in Math. 114, Cambridge Univ. Press, Cambridge. 280 Popescu, N.: 1973, Abelian Categories with Applications to Rings and Modules. New York and London: Academic Press., 2nd edn. 1975. (English translation by I.C. Baianu). 281 Pareigis, B., 1970, Categories and Functors, New York: Academic Press. 282 Pedicchio, M. C. & Tholen, W., 2004, Categorical Foundations, Cambridge: Cambridge University Press. 283 Peirce, B., 1991, Basic Category Theory for Computer Scientists, Cambridge: MIT Press. 284 Pitts, A. M., 1989, "Conceptual Completeness for First-order Intuitionistic Logic: an Application of Categorical Logic", Annals of Pure and Applied Logic, 41, no. 1, 33-81. 285 Pitts, A. M., 2000, "Categorical Logic", Handbook of Logic in Computer Science, Vol.5, Oxford: Oxford Unversity Press, 39-128. 286 Plotkin, B., 2000, "Algebra, Categories and Databases", Handbook of Algebra, Vol. 2, Amsterdam: Elsevier, 79-148. 287 Poli, R.: 2008, Ontology: The Categorical Stance, (in TAO1- Theory and Applications of Ontology: vol.1). 287 Poli, R. (with I.C. Baianu): 2008, Categorical Ontology: the theory of levels, (in TAO1- Theory and Applications of Ontology: vol.1), in press. 288 Popescu, N.: 1973, Abelian Categories with Applications to Rings and Modules. New York and London: Academic Press., 2nd edn. 1975. (English translation by I.C. Baianu). 289 Porter, T.: 2002, Geometric aspects of multiagent sytems, preprint University of Wales-Bangor. 290 Pradines, J.: 1966, Théorie de Lie pour les groupoides différentiable, relation entre propriétes locales et globales, C. R. Acad Sci. Paris Sér. A 268: 907-910. 291 Pribram, K. H.: 1991, Brain and Perception: Holonomy and Structure in Figural processing, Lawrence Erlbaum Assoc.: Hillsdale. 292 Pribram, K. H.: 2000, Proposal for a quantum physical basis for selective learning, in (Farre, ed.) Proceedings ECHO IV 1-4. 293 Prigogine, I.: 1980, From Being to Becoming : Time andComplexity in the Physical Sciences, W. H. Freeman and Co.: San Francisco. 294 Raptis, I. and R. R. Zapatrin: 2000, Quantisation of discretized spacetimes and the correspondence principle, Int. Jour. Theor. Phys. 39: 1. 295 Raptis, I.: 2003, Algebraic quantisation of causal sets, Int. Jour. Theor. Phys. 39: 1233. 296 I. Raptis : Quantum space-time as a quantum causal set, arXiv:gr-qc/0201004. 297 Rashevsky, N.: 1965, The Representation of Organisms in Terms of Predicates, Bulletin of Mathematical Biophysics 27: 477-491. 298 Rashevsky, N.: 1969, Outline of a Unified Approach to Physics, Biology and Sociology., Bulletin of Mathematical Biophysics 31: 159-198. 299 Reyes, G. & Zolfaghari, H., 1991, "Topos-theoretic Approaches to Modality", Category Theory (Como 1990), Lecture Notes in Mathematics, 1488, Berlin: Springer, 359-378. 300 Reyes, G. & Zolfaghari, H., 1996, "Bi-Heyting Algebras, Toposes and Modalities", Journal of Philosophical Logic, 25, no. 1, 25-43. 301 Reyes, G., 1974, "From Sheaves to Logic", in Studies in Algebraic Logic, A. Daigneault, ed., Providence: AMS. 302 Reyes, G., 1991, "A Topos-theoretic Approach to Reference and Modality", Notre Dame Journal of Formal Logic, 32, no. 3, 359-391. 303 M. A. Rieffel : Group C*-algebras as compact quantum metric spaces, Documenta Math. 7 (2002), 605-651. 304 Roberts, J. E.: 2004, More lectures on algebraic quantum field theory, in A. Connes, et al. Noncommutative Geometry, Springer: Berlin and New York. 305 Rodabaugh, S. E. & Klement, E. P., eds., Topological and Algebraic Structures in Fuzzy Sets: A Handbook of Recent Developments in the Mathematics of Fuzzy Sets, Trends in Logic, 20, Dordrecht: Kluwer. 306 Rosen, R.: 1985, Anticipatory Systems, Pergamon Press: New York. 307 Rosen, R.: 1958a, A Relational Theory of Biological Systems Bulletin of Mathematical Biophysics 20: 245-260. 308 Rosen, R.: 1958b, The Representation of Biological Systems from the Standpoint of the Theory of Categories., Bulletin of Mathematical Biophysics 20: 317-341. 309 Rosen, R.: 1987, On Complex Systems, European Journal of Operational Research 30, 129—134. 310 G. C. Rota : On the foundation of combinatorial theory, I. The theory of Möbius functions, Zetschrif für Wahrscheinlichkeitstheorie 2 (1968), 340. 311 Rovelli, C.: 1998, Loop Quantum Gravity, in N. Dadhich, et al. Living Reviews in Relativity (refereed electronic journal) http:www.livingreviews.org/Articles/Volume1/1998 1 rovelli 312 Schrödinger E.: 1967, Mind and Matter in `What is Life?', Cambridge University Press: Cambridge, UK. 313 Schrödinger E.: 1945, What is Life?, Cambridge University Press: Cambridge, UK. 314 Scott, P. J., 2000, Some Aspects of Categories in Computer Science, Handbook of Algebra, Vol. 2, Amsterdam: North Holland, 3-77. 315 Seely, R. A. G., 1984, ``Locally Cartesian Closed Categories and Type Theory, Mathematical Proceedings of the Cambridge Mathematical Society, 95, no. 1, 33-48. 316 Shapiro, S., 2005, ``Categories, Structures and the Frege-Hilbert Controversy: the Status of Metamathematics, Philosophia Mathematica, 13, 1, 61-77. 317 Sorkin, R.D.: 1991, Finitary substitute for continuous topology, Int. J. Theor. Phys. 30 No. 7.: 923-947. 318 Smolin, L.: 2001, Three Roads to Quantum Gravity, Basic Books: New York. 319 Spanier, E. H.: 1966, Algebraic Topology, McGraw Hill: New York. 320 Spencer-Brown, G.: 1969, Laws of Form, George Allen and Unwin, London. 321 Stapp, H.: 1993, Mind, Matter and Quantum Mechanics, Springer Verlag: Berlin-Heidelberg-New York. 322 Stewart, I. and Golubitsky, M. : 1993. ``Fearful Symmetry: Is God a Geometer?, Blackwell: Oxford, UK. 323 Szabo, R. J.: 2003, Quantum field theory on non-commutative spaces, Phys. Rep. 378: 207-209. 324 Tattersall, I. and J. Schwartz: 2000, Extinct Humans. Westview Press, Boulder, Colorado and Cumnor Hill Oxford. ISBN 0-8133-3482-9 (hc) 325 Thom, R.: 1980, Modèles mathématiques de la morphogénèse, Paris, Bourgeois. 326 Thompson, W. D'Arcy: 1994, On Growth and Form., Dover Publications, Inc: New York. 327 uring, A.M.: 1952, The Chemical Basis of Morphogenesis, Philosophical Trans. of the the Royal Soc.(B) 257:37-72. 328 Taylor, P., 1996, "Intuitionistic sets and Ordinals", Journal of Symbolic Logic, 61, 705-744. 329 Taylor, P., 1999, Practical Foundations of Mathematics, Cambridge: Cambridge University Press. 330 Tierney, M., 1972, "Sheaf Theory and the Continuum Hypothesis", Toposes, Algebraic Geometry and Logic, 331 Unruh, W.G.: 2001, `Black holes, dumb holes, and entropy', in C. Callender and N. Hugget (eds. ) Physics Meets Philosophy at the Planck scale, Cambridge University Press, pp. 152-173. 332 Van der Hoeven, G. & Moerdijk, I., 1984a, ``Sheaf Models for Choice Sequences, Annals of Pure and Applied Logic, 27, no. 1, 63-107. 333 Van der Hoeven, G. & Moerdijk, I., 1984b, ``On Choice Sequences determined by Spreads, Journal of Symbolic Logic, 49, no. 3, 908-916. 334 Várilly, J. C.: 1997, An introduction to noncommutative geometry arXiv:physics/9709045 335 von Neumann, J.: 1932, Mathematische Grundlagen der Quantenmechanik, Springer: Berlin. 336 Wallace, R.: 2005, Consciousness : A Mathematical Treatment of the Global Neuronal Workspace, Springer: Berlin. 337 Weinstein, A.: 1996, Groupoids : unifying internal and external symmetry, Notices of the Amer. Math. Soc. 43: 744-752. 338 Wess J. and J. Bagger: 1983, Supersymmetry and Supergravity, Princeton University Press: Princeton, NJ. 339 Weinberg, S.: 1995, The Quantum Theory of Fields vols. 1 to 3, Cambridge Univ. Press. 340 Wheeler, J. and W. Zurek: 1983, Quantum Theory and Measurement, Princeton University Press: Princeton, NJ. 341 Whitehead, J. H. C.: 1941, On adding relations to homotopy groups, Annals of Math. 42 (2): 409-428. 342 Wiener, N.: 1950, The Human Use of Human Beings: Cybernetics and Society. Free Association Books: London, 1989 edn. 343 Woit, P.: 2006, Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Laws, Jonathan Cape. 344 Wood, R.J., 2004, Ordered Sets via Adjunctions, Categorical Foundations, M. C. Pedicchio & W. Tholen, eds., Cambridge: Cambridge University Press.