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Revision difference : bibliography for mathematical physics foundations: axiomatics and categories |
| Version 18 |
Version 17 |
| This is a bibliography for axiomatics, categories, |
This is a bibliography for axiomatics, categories, |
| supercategories and mathematical physics foundations |
supercategories and mathematical physics foundations |
|
|
|
|
| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
|
|
| \bibitem{AS} |
\bibitem{AS} |
| Alfsen, E.M. and F. W. Schultz: \emph{Geometry of State Spaces of |
Alfsen, E.M. and F. W. Schultz: \emph{Geometry of State Spaces of |
| Operator Algebras}, Birkh\"auser, Boston--Basel--Berlin (2003). |
Operator Algebras}, Birkh\"auser, Boston--Basel--Berlin (2003). |
|
|
| \bibitem{AMF56} |
\bibitem{AMF56} |
| Atiyah, M.F. 1956. ``On the Krull-Schmidt theorem with applications to sheaves.'', |
Atiyah, M.F. 1956. ``On the Krull-Schmidt theorem with applications to sheaves.'', |
| \emph{Bull. Soc. Math. France}, \textbf{84}: 307--317. |
\emph{Bull. Soc. Math. France}, \textbf{84}: 307--317. |
|
|
| \bibitem{AMF56} |
\bibitem{AMF56} |
| Auslander, M. 1965. ``Coherent Functors.'', in: \emph{Proc. Conf. Cat. Algebra, La Jolla}, |
Auslander, M. 1965. ``Coherent Functors.'', in: \emph{Proc. Conf. Cat. Algebra, La Jolla}, |
| 189--231. |
189--231. |
| |
|
| \bibitem{AS-BC2k} |
\bibitem{AS-BC2k} |
| Awodey, S. \& Butz, C. 2000. ``Topological Completeness for Higher Order Logic.'', Journal of Symbolic Logic, 65, 3, 1168--1182. |
Awodey, S. \& Butz, C. 2000. ``Topological Completeness for Higher Order Logic.'', Journal of Symbolic Logic, 65, 3, 1168--1182. |
|
|
| \bibitem{AS-RER2k2} |
\bibitem{AS-RER2k2} |
| Awodey, S. \& Reck, E. R. 2002. ``Completeness and Categoricity I. |
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. |
Nineteen-Century Axiomatics to Twentieth-Century Metalogic.'', History and Philosophy of Logic, 23, 1, 1--30. |
| |
|
| \bibitem{AS-RER2k2} |
\bibitem{AS-RER2k2} |
| Awodey, S. \& Reck, E. R. 2002. ``Completeness and Categoricity II. Twentieth-Century Metalogic to Twenty-first-Century Semantics.'', \emph{History and Philosophy of Logic}, 23, (2): 77--94. |
Awodey, S. \& Reck, E. R. 2002. ``Completeness and Categoricity II. Twentieth-Century Metalogic to Twenty-first-Century Semantics.'', \emph{History and Philosophy of Logic}, 23, (2): 77--94. |
|
|
| \bibitem{AS96} |
\bibitem{AS96} |
| Awodey, S., 1996, ``Structure in Mathematics and Logic: A Categorical Perspective.'', |
Awodey, S., 1996, ``Structure in Mathematics and Logic: A Categorical Perspective.'', |
| \emph{Philosophia Mathematica}, {\bf 3}: 209--237. |
\emph{Philosophia Mathematica}, {\bf 3}: 209--237. |
|
|
| \bibitem{AS2k4} |
\bibitem{AS2k4} |
| Awodey, S., 2004, ``An Answer to Hellman's Question: Does Category Theory Provide a Framework for Mathematical Structuralism.'', \emph{Philosophia Mathematica}, 12: 54--64. |
Awodey, S., 2004, ``An Answer to Hellman's Question: Does Category Theory Provide a Framework for Mathematical Structuralism.'', \emph{Philosophia Mathematica}, 12: 54--64. |
|
|
| \bibitem{AS2k6} |
\bibitem{AS2k6} |
| Awodey, S., 2006, {\em Category Theory}, Oxford: Clarendon Press. |
Awodey, S., 2006, {\em Category Theory}, Oxford: Clarendon Press. |
|
|
| \bibitem{BAJ-DJ98a} |
\bibitem{BAJ-DJ98a} |
| Baez, J. \& Dolan, J. 1998a. ``Higher-Dimensional Algebra: III. n-Categories and the Algebra of Opetopes.'', |
Baez, J. \& Dolan, J. 1998a. ``Higher-Dimensional Algebra: III. n-Categories and the Algebra of Opetopes.'', |
| in: \emph{Advances in Mathematics}, {\bf 135}: 145--206. |
in: \emph{Advances in Mathematics}, {\bf 135}: 145--206. |
|
|
| \bibitem{BAJ-DJ98B} |
\bibitem{BAJ-DJ98B} |
| Baez, J. \& Dolan, J. 1998b. ``Categorification'', Higher Category Theory, Contemporary Mathematics, 230, Providence: AMS, 1--36. |
Baez, J. \& Dolan, J. 1998b. ``Categorification'', Higher Category Theory, Contemporary Mathematics, 230, Providence: AMS, 1--36. |
|
|
| \bibitem{BAJ-DJ2k1} |
\bibitem{BAJ-DJ2k1} |
| Baez, J. \& Dolan, J. 2001 ``From Finite Sets to Feynman Diagrams.'', |
Baez, J. \& Dolan, J. 2001 ``From Finite Sets to Feynman Diagrams.'', |
| in \emph{Mathematics Unlimited -- 2001 and Beyond}, Berlin: Springer, 29--50. |
in \emph{Mathematics Unlimited -- 2001 and Beyond}, Berlin: Springer, 29--50. |
|
|
| \bibitem{BAJ-DJ97} |
\bibitem{BAJ-DJ97} |
| Baez, J. 1997. ``An Introduction to n-Categories.'', in \emph{Category Theory and Computer Science, Lecture Notes in Computer Science}, 1290, Berlin: Springer-Verlag, 1--33. |
Baez, J. 1997. ``An Introduction to n-Categories.'', in \emph{Category Theory and Computer Science, Lecture Notes in Computer Science}, 1290, Berlin: Springer-Verlag, 1--33. |
|
|
| \bibitem{ICB4} |
\bibitem{ICB4} |
| Baianu, I.C.: 1971a, ``Organismic Supercategories and Qualitative Dynamics of Systems.'', \emph{Ibid.}, \textbf{33} (3), 339--354. |
Baianu, I.C.: 1971a, ``Organismic Supercategories and Qualitative Dynamics of Systems.'', \emph{Ibid.}, \textbf{33} (3), 339--354. |
| |
|
| \bibitem{ICB4} |
\bibitem{ICB4} |
| Baianu, I.C.: 1971b, ``Categories, Functors and Quantum Algebraic Computations'', in P. Suppes (ed.), \emph{Proceed. Fourth Intl. Congress Logic-Mathematics-Philosophy of Science}, September 1--4, 1971, Bucharest. |
Baianu, I.C.: 1971b, ``Categories, Functors and Quantum Algebraic Computations'', in P. Suppes (ed.), \emph{Proceed. Fourth Intl. Congress Logic-Mathematics-Philosophy of Science}, September 1--4, 1971, Bucharest. |
|
|
| \bibitem{ICB-HG-EO84} |
\bibitem{ICB-HG-EO84} |
| Baianu, I.C., H. S. Gutowsky, and E. Oldfield: 1984, {\em Proc. Natl. Acad. Sci. USA}, \textbf{81}(12): |
Baianu, I.C., H. S. Gutowsky, and E. Oldfield: 1984, {\em Proc. Natl. Acad. Sci. USA}, \textbf{81}(12): |
| 3713-3717. |
3713-3717. |
| |
|
| \bibitem{Bgg2} |
\bibitem{Bgg2} |
| Baianu, I. C., Glazebrook, J. F. and G. Georgescu: 2004, ``Categories of Quantum Automata and N-Valued \L ukasiewicz Algebras in Relation to Dynamic Bionetworks, \textbf{(M,R)}--Systems and Their Higher Dimensional Algebra.'', |
Baianu, I. C., Glazebrook, J. F. and G. Georgescu: 2004, ``Categories of Quantum Automata and N-Valued \L ukasiewicz Algebras in Relation to Dynamic Bionetworks, \textbf{(M,R)}--Systems and Their Higher Dimensional Algebra.'', |
| \PMlinkexternal{PDF's of Abstract and Preprint of Report}{\\http://www.ag.uiuc.edu/fs401/QAuto.pdf}. |
\PMlinkexternal{PDF's of Abstract and Preprint of Report}{\\http://www.ag.uiuc.edu/fs401/QAuto.pdf}. |
|
|
| \bibitem{ICB8} |
\bibitem{ICB8} |
| Baianu, I.C.: 2004a, ``Quantum Nano--Automata (QNA): Microphysical Measurements with Microphysical QNA Instruments.'', \emph{CERN Preprint EXT--2004--125}. |
Baianu, I.C.: 2004a, ``Quantum Nano--Automata (QNA): Microphysical Measurements with Microphysical QNA Instruments.'', \emph{CERN Preprint EXT--2004--125}. |
|
|
| \bibitem{Bgb2} |
\bibitem{Bgb2} |
| Baianu, I. C., Brown, R. and J. F. Glazebrook: 2006a, {\em Quantum Algebraic Topology and Field Theories}. |
Baianu, I. C., Brown, R. and J. F. Glazebrook: 2006a, {\em Quantum Algebraic Topology and Field Theories}. |
| \PMlinkexternal{Preprint subm.}{http://www.ag.uiuc.edu/fs40l/QAT.pdf}. |
\PMlinkexternal{Preprint subm.}{http://www.ag.uiuc.edu/fs40l/QAT.pdf}. |
|
|
| \bibitem{BBGG1} |
\bibitem{BBGG1} |
| Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006b, ``Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L ukasiewicz--Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks.'', \emph{Axiomathes}, \textbf{16} Nos. 1--2: 65--122. |
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006b, ``Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L ukasiewicz--Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks.'', \emph{Axiomathes}, \textbf{16} Nos. 1--2: 65--122. |
|
|
| \bibitem{Bggb4} |
\bibitem{Bggb4} |
| Baianu, I.C., R. Brown and J. F. Glazebrook: 2007b, ``A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity.'', Axiomathes, 17: 169-225. |
Baianu, I.C., R. Brown and J. F. Glazebrook: 2007b, ``A Non-Abelian, Categorical Ontology of Spacetimes and Quantum Gravity.'', Axiomathes, 17: 169-225. |
|
|
| \bibitem{Ba-We2k} |
\bibitem{Ba-We2k} |
| M.~Barr and C.~Wells. {\em Toposes, Triples and Theories}. Montreal: McGill University, 2000. |
M.~Barr and C.~Wells. {\em Toposes, Triples and Theories}. Montreal: McGill University, 2000. |
|
|
| \bibitem{Ba-We85} |
\bibitem{Ba-We85} |
| Barr, M. \& Wells, C., 1985, ``Toposes, Triples and Theories.'', New York: Springer-Verlag. |
Barr, M. \& Wells, C., 1985, ``Toposes, Triples and Theories.'', New York: Springer-Verlag. |
| |
|
| \bibitem{BM-CW99} |
\bibitem{BM-CW99} |
| Barr, M. \& Wells, C., 1999, ``Category Theory for Computing Science.'', Montreal: CRM. |
Barr, M. \& Wells, C., 1999, ``Category Theory for Computing Science.'', Montreal: CRM. |
| |
|
| \bibitem{BaM98} |
\bibitem{BaM98} |
| Batanin, M. 1998. ``Monoidal Globular Categories as a Natural Environment for the Theory of Weak n-Categories.'', |
Batanin, M. 1998. ``Monoidal Globular Categories as a Natural Environment for the Theory of Weak n-Categories.'', |
| \emph{Advances in Mathematics}, 136: 39--103. |
\emph{Advances in Mathematics}, 136: 39--103. |
|
|
| \bibitem{BJL81} |
\bibitem{BJL81} |
| Bell, J. L., 1981, ``Category Theory and the Foundations of Mathematics.'', |
Bell, J. L., 1981, ``Category Theory and the Foundations of Mathematics.'', |
| \emph{British Journal for the Philosophy of Science}, 32, 349--358. |
\emph{British Journal for the Philosophy of Science}, 32, 349--358. |
| |
|
| \bibitem{BJL82} |
\bibitem{BJL82} |
| Bell, J. L., 1982, ``Categories, Toposes and Sets.'', \emph{Synthese}, 51, 3, 293--337. |
Bell, J. L., 1982, ``Categories, Toposes and Sets.'', \emph{Synthese}, 51, 3, 293--337. |
| |
|
| \bibitem{BJL86} |
\bibitem{BJL86} |
| Bell, J. L., 1986, ``From Absolute to Local Mathematics.'', \emph{Synthese}, 69, 3, 409--426. |
Bell, J. L., 1986, ``From Absolute to Local Mathematics.'', \emph{Synthese}, 69, 3, 409--426. |
|
|
| \bibitem{BJL88} |
\bibitem{BJL88} |
| Bell, J. L., 1988, {\em Toposes and Local Set Theories: An Introduction}, Oxford: Oxford University Press. |
Bell, J. L., 1988, {\em Toposes and Local Set Theories: An Introduction}, Oxford: Oxford University Press. |
|
|
| \bibitem{BG-MCLS99} |
\bibitem{BG-MCLS99} |
| Birkoff, G. \& Mac Lane, S., 1999, {\em Algebra}, 3rd ed., Providence: AMS. |
Birkoff, G. \& Mac Lane, S., 1999, {\em Algebra}, 3rd ed., Providence: AMS. |
|
|
| \bibitem{BDK2k3} |
\bibitem{BDK2k3} |
| Biss, D.K., 2003, ``Which Functor is the Projective Line?'', \emph{American Mathematical Monthly}, 110, 7, 574--592. |
Biss, D.K., 2003, ``Which Functor is the Projective Line?'', \emph{American Mathematical Monthly}, 110, 7, 574--592. |
|
|
| \bibitem{BA-SA83} |
\bibitem{BA-SA83} |
| Blass, A. \& Scedrov, A., 1983, ``Classifying Topoi and Finite Forcing.'' , Journal of Pure and Applied Algebra, 28, 111--140. |
Blass, A. \& Scedrov, A., 1983, ``Classifying Topoi and Finite Forcing.'' , Journal of Pure and Applied Algebra, 28, 111--140. |
|
|
| \bibitem{BA-SA89} |
\bibitem{BA-SA89} |
| Blass, A. \& Scedrov, A., 1989, ``Freyd's Model for the Independence of the Axiom of Choice.'', Providence: AMS. |
Blass, A. \& Scedrov, A., 1989, ``Freyd's Model for the Independence of the Axiom of Choice.'', Providence: AMS. |
|
|
| \bibitem{BASA92} |
\bibitem{BASA92} |
| Blass, A. \& Scedrov, A., 1992, ``Complete Topoi Representing Models of Set Theory.'', |
Blass, A. \& Scedrov, A., 1992, ``Complete Topoi Representing Models of Set Theory.'', |
| \emph{Annals of Pure and Applied Logic}, 57, no. 1, 1--26. |
\emph{Annals of Pure and Applied Logic}, 57, no. 1, 1--26. |
|
|
| \bibitem{BA84} |
\bibitem{BA84} |
| Blass, A., 1984, ``The Interaction Between Category Theory and Set Theory.'', Mathematical Applications of Category Theory, 30, Providence: AMS, 5--29. |
Blass, A., 1984, ``The Interaction Between Category Theory and Set Theory.'', Mathematical Applications of Category Theory, 30, Providence: AMS, 5--29. |
|
|
| \bibitem{BR-SP2k4} |
\bibitem{BR-SP2k4} |
| Blute, R. \& Scott, P., 2004, ``Category Theory for Linear Logicians.'', |
Blute, R. \& Scott, P., 2004, ``Category Theory for Linear Logicians.'', |
| in: {\em Linear Logic in Computer Science.} |
in: {\em Linear Logic in Computer Science.} |
|
|
| \bibitem{Borceux94} |
\bibitem{Borceux94} |
| Borceux, F.: 1994, \emph{Handbook of Categorical Algebra}, vols: 1--3, |
Borceux, F.: 1994, \emph{Handbook of Categorical Algebra}, vols: 1--3, |
| in {\em Encyclopedia of Mathematics and its Applications} \textbf{50} to \textbf{52}, Cambridge University Press. |
in {\em Encyclopedia of Mathematics and its Applications} \textbf{50} to \textbf{52}, Cambridge University Press. |
|
|
| \bibitem{Bourbaki1} |
\bibitem{Bourbaki1} |
| Bourbaki, N. 1961 and 1964: \emph{Alg\`{e}bre commutative.}, |
Bourbaki, N. 1961 and 1964: \emph{Alg\`{e}bre commutative.}, |
| in \'{E}l\'{e}ments de Math\'{e}matique., Chs. 1--6., Hermann: Paris. |
in \'{E}l\'{e}ments de Math\'{e}matique., Chs. 1--6., Hermann: Paris. |
|
|
| \bibitem{BrownBook1} |
\bibitem{BrownBook1} |
| R. Brown: \emph{Topology and Groupoids}, BookSurge LLC (2006). |
R. Brown: \emph{Topology and Groupoids}, BookSurge LLC (2006). |
|
|
| \bibitem{BJk4} |
\bibitem{BJk4} |
| Brown, R. and G. Janelidze: 2004, ``Galois theory and a new homotopy |
Brown, R. and G. Janelidze: 2004, ``Galois theory and a new homotopy |
| double groupoid of a map of spaces.'', \emph{Applied Categorical |
double groupoid of a map of spaces.'', \emph{Applied Categorical |
| Structures} \textbf{12}: 63-80. |
Structures} \textbf{12}: 63-80. |
|
|
| \bibitem{BHR2} |
\bibitem{BHR2} |
| Brown, R., Higgins, P. J. and R. Sivera,: 2007a, \emph{Non-Abelian |
Brown, R., Higgins, P. J. and R. Sivera,: 2007a, \emph{Non-Abelian |
| Algebraic Topology},\PMlinkexternal{Vol.I PDF}{http://www.bangor.ac.uk/~mas010/nonab-t/partI010604.pdf}. |
Algebraic Topology},\PMlinkexternal{Vol.I PDF}{http://www.bangor.ac.uk/~mas010/nonab-t/partI010604.pdf}. |
|
|
| \bibitem{BGB2k7b} |
\bibitem{BGB2k7b} |
| 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.'', \emph{Axiomathes} (17): 321--379. |
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.'', \emph{Axiomathes} (17): 321--379. |
|
|
| \bibitem{BPP2k4} |
\bibitem{BPP2k4} |
| Brown, R., Paton, R. and T. Porter.: 2004, ``Categorical language and |
Brown, R., Paton, R. and T. Porter.: 2004, ``Categorical language and |
| hierarchical models for cell systems.'', in \emph{Computation in |
hierarchical models for cell systems.'', in \emph{Computation in |
| Cells and Tissues - Perspectives and Tools of Thought}, Paton, R.; |
Cells and Tissues - Perspectives and Tools of Thought}, Paton, R.; |
| Bolouri, H.; Holcombe, M.; Parish, J.H.; Tateson, R. (Eds.) |
Bolouri, H.; Holcombe, M.; Parish, J.H.; Tateson, R. (Eds.) |
| Natural Computing Series, Springer Verlag, 289-303. |
Natural Computing Series, Springer Verlag, 289-303. |
|
|
| \bibitem{BP2k3} |
\bibitem{BP2k3} |
| Brown R. and T. Porter: 2003, ``Category theory and higher |
Brown R. and T. Porter: 2003, ``Category theory and higher |
| dimensional algebra: potential descriptive tools in neuroscience.'', In: |
dimensional algebra: potential descriptive tools in neuroscience.'', In: |
| {\em Proceedings of the International Conference on Theoretical |
{\em Proceedings of the International Conference on Theoretical |
| Neurobiology}, Delhi, February 2003, edited by Nandini Singh, |
Neurobiology}, Delhi, February 2003, edited by Nandini Singh, |
| National Brain Research Centre, Conference Proceedings 1, 80-92. |
National Brain Research Centre, Conference Proceedings 1, 80-92. |
|
|
| \bibitem{Br-Har-Ka-Po2k2} |
\bibitem{Br-Har-Ka-Po2k2} |
| Brown, R., Hardie, K., Kamps, H. and T. Porter: 2002, ``The homotopy |
Brown, R., Hardie, K., Kamps, H. and T. Porter: 2002, ``The homotopy |
| double groupoid of a Hausdorff space.'', \emph{Theory and |
double groupoid of a Hausdorff space.'', \emph{Theory and |
| Applications of Categories} \textbf{10}, 71-93. |
Applications of Categories} \textbf{10}, 71-93. |
|
|
| \bibitem{Br-Hardy76} |
\bibitem{Br-Hardy76} |
| Brown, R., and Hardy, J.P.L.:1976, ``Topological groupoids I: |
Brown, R., and Hardy, J.P.L.:1976, ``Topological groupoids I: |
| universal constructions.'', \emph{Math. Nachr.}, 71: 273-286. |
universal constructions.'', \emph{Math. Nachr.}, 71: 273-286. |
|
|
| \bibitem{Br-Sp76} |
\bibitem{Br-Sp76} |
| Brown, R. and Spencer, C.B.: 1976, ``Double groupoids and crossed |
Brown, R. and Spencer, C.B.: 1976, ``Double groupoids and crossed |
| modules.'', \emph{Cah. Top. G\'{e}om. Diff.} \textbf{17}, 343-362. |
modules.'', \emph{Cah. Top. G\'{e}om. Diff.} \textbf{17}, 343-362. |
|
|
| \bibitem{BRTPT2k6} |
\bibitem{BRTPT2k6} |
| Brown R, and Porter T (2006) ``Category theory: an abstract setting for analogy and comparison. In: What is |
Brown R, and Porter T (2006) ``Category theory: an abstract setting for analogy and comparison. In: What is |
| category theory?'', in: {\em Advanced studies in mathematics and logic}. Polimetrica Publisher, Italy, pp. |
category theory?'', in: {\em Advanced studies in mathematics and logic}. Polimetrica Publisher, Italy, pp. |
| 257-274. |
257-274. |
|
|
| \bibitem{BR-SCB76} |
\bibitem{BR-SCB76} |
| Brown R, Razak Salleh A (1999) ``Free crossed resolutions of groups and presentations of modules of |
Brown R, Razak Salleh A (1999) ``Free crossed resolutions of groups and presentations of modules of |
| identities among relations.'' {\em LMS J. Comput. Math.}, \textbf{2}: 25--61. |
identities among relations.'' {\em LMS J. Comput. Math.}, \textbf{2}: 25--61. |
|
|
| \bibitem{BDA55} |
\bibitem{BDA55} |
| Buchsbaum, D. A.: 1955, ``Exact categories and duality.'', Trans. Amer. Math. Soc. \textbf{80}: 1-34. |
Buchsbaum, D. A.: 1955, ``Exact categories and duality.'', Trans. Amer. Math. Soc. \textbf{80}: 1-34. |
|
|
| \bibitem{BDA55} |
\bibitem{BDA55} |
| Buchsbaum, D. A.: 1969, A note on homology in categories., Ann. of Math. \textbf{69}: 66-74. |
Buchsbaum, D. A.: 1969, A note on homology in categories., Ann. of Math. \textbf{69}: 66-74. |
|
|
| \bibitem{BI65} |
\bibitem{BI65} |
| Bucur, I. (1965). {\em Homological Algebra}. (orig. title: ``Algebra Omologica'') |
Bucur, I. (1965). {\em Homological Algebra}. (orig. title: ``Algebra Omologica'') |
| Ed. Didactica si Pedagogica: Bucharest. |
Ed. Didactica si Pedagogica: Bucharest. |
|
|
| \bibitem{BI-DA68} |
\bibitem{BI-DA68} |
| Bucur, I., and Deleanu A. (1968). {\em Introduction to the Theory of Categories and Functors}. J.Wiley and Sons: London |
Bucur, I., and Deleanu A. (1968). {\em Introduction to the Theory of Categories and Functors}. J.Wiley and Sons: London |
|
|
| \bibitem{BL2k3} |
\bibitem{BL2k3} |
| Bunge, M. and S. Lack: 2003, ``Van Kampen theorems for toposes.'', \emph{Adv. in Math.} \textbf{179}, 291-317. |
Bunge, M. and S. Lack: 2003, ``Van Kampen theorems for toposes.'', \emph{Adv. in Math.} \textbf{179}, 291-317. |
|
|
| \bibitem{BM74} |
\bibitem{BM74} |
| Bunge, M., 1974, ``Topos Theory and Souslin's Hypothesis'', Journal of Pure and Applied Algebra, 4, 159-187. |
Bunge, M., 1974, ``Topos Theory and Souslin's Hypothesis'', Journal of Pure and Applied Algebra, 4, 159-187. |
|
|
| \bibitem{BM84} |
\bibitem{BM84} |
| Bunge, M., 1984, ``Toposes in Logic and Logic in Toposes'', Topoi, 3, no. 1, 13-22. |
Bunge, M., 1984, ``Toposes in Logic and Logic in Toposes'', Topoi, 3, no. 1, 13-22. |
|
|
| \bibitem{BM-LS2k3} |
\bibitem{BM-LS2k3} |
| Bunge M, Lack S (2003) Van Kampen theorems for toposes. {\em Adv Math}, \textbf {179}: 291-317. |
Bunge M, Lack S (2003) Van Kampen theorems for toposes. {\em Adv Math}, \textbf {179}: 291-317. |
|
|
| \bibitem{BJ-ICJ2k1} |
\bibitem{BJ-ICJ2k1} |
| Butterfield J., Isham C.J. (2001) Spacetime and the philosophical challenges of quantum gravity. In: |
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 |
Callender C, Hugget N (eds) Physics meets philosophy at the Planck scale. Cambridge University |
| Press, pp 33-89. |
Press, pp 33-89. |
|
|
| \bibitem{BJ-ICJ98-2k2} |
\bibitem{BJ-ICJ98-2k2} |
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\end{thebibliography} |
|
|
| \subsection{Literature references for supercategories, axiomatics and applications} |
\subsection{Literature references for supercategories, axiomatics and applications} |
|
|
| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
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| \PMlinkexternal{PDF download}{http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1236933} |
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| \bibitem{BBGG1} |
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| Categories, Higher Dimensional Algebra and \L ukasiewicz--Moisil Topos: Transformations of |
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