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Revision difference : bibliography for axiomatics and mathematics foundations in categories |
| Version 28 |
Version 27 |
| \subsection{Bibliography for axiomatic theories and |
\subsection{Bibliography for axiomatic theories and |
| categorical foundations of mathematics} |
categorical foundations of mathematics} |
|
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|
|
| \subsubsection{a. Foundations of mathematics, logics and |
\subsubsection{a. Foundations of mathematics, logics and |
| \PMlinkname{formal logics}{AnalyticsAndOntologyFormalLogics}: |
\PMlinkname{formal logics}{AnalyticsAndOntologyFormalLogics}: |
| Axiomatics, categories, topoi and \PMlinkname{Higher dimensional algebra}{HigherDimensionalAlgebraHDA}} |
Axiomatics, categories, topoi and \PMlinkname{Higher dimensional algebra}{HigherDimensionalAlgebraHDA}} |
|
|
| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
|
|
| \bibitem{AS96} |
\bibitem{AS96} |
| Awodey, S., 1996, Structure in Mathematics and Logic: A Categorical Perspective, {\em Philosophia Mathematica}, 3, 209--237. |
Awodey, S., 1996, Structure in Mathematics and Logic: A Categorical Perspective, {\em Philosophia Mathematica}, 3, 209--237. |
|
|
| \bibitem{AS2k6} |
\bibitem{AS2k6} |
| Awodey, S., 2006, Category Theory, Oxford: Clarendon Press. |
Awodey, S., 2006, Category Theory, Oxford: Clarendon Press. |
|
|
| \bibitem{BAJ-DJ98a} |
\bibitem{BAJ-DJ98a} |
| Baez, J. and Dolan, J., 1998a, Higher-Dimensional Algebra III. $n$-Categories and the Algebra of Opetopes, |
Baez, J. and Dolan, J., 1998a, Higher-Dimensional Algebra III. $n$-Categories and the Algebra of Opetopes, |
| {\em Advances in Mathematics}, 135: 145--206. |
{\em Advances in Mathematics}, 135: 145--206. |
|
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| \bibitem{BAJ-DJ98B} |
\bibitem{BAJ-DJ98B} |
| Baez, J. and Dolan, J., 1998b, ``Categorification'', {\em Higher Category Theory, Contemporary Mathematics}, 230, Providence: AMS, 1--36. |
Baez, J. and Dolan, J., 1998b, ``Categorification'', {\em Higher Category Theory, Contemporary Mathematics}, 230, Providence: AMS, 1--36. |
|
|
| \bibitem{BBGG1} |
\bibitem{BBGG1} |
| Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and \L{}ukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks., |
Baianu I. C., Brown R., Georgescu G. and J. F. Glazebrook: 2006, 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. |
\emph{Axiomathes}, \textbf{16} Nos. 1-2: 65-122. |
|
|
| \bibitem{ICBDS73} |
\bibitem{ICBDS73} |
| Baianu, I.C. and D. Scripcariu: 1973, On Adjoint Dynamical Systems. |
Baianu, I.C. and D. Scripcariu: 1973, On Adjoint Dynamical Systems. |
| \emph{Bulletin of Mathematical Biophysics}, \textbf{35}(4): 475-486. |
\emph{Bulletin of Mathematical Biophysics}, \textbf{35}(4): 475-486. |
|
|
| \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, |
| \emph{Preprint of Report}. |
\emph{Preprint of Report}. |
|
|
| \bibitem{Ba-We2k} |
\bibitem{Ba-We2k} |
| Barr, M. and C.~Wells. {\em Toposes, Triples and Theories}. Montreal: McGill University, 2000. |
Barr, M. and C.~Wells. {\em Toposes, Triples and Theories}. Montreal: McGill University, 2000. |
|
|
| \bibitem{BM-CW99} |
\bibitem{BM-CW99} |
| Barr, M. and Wells, C. 1999.\emph{Category Theory for Computing Science}, Montreal: CRM. |
Barr, M. and Wells, C. 1999.\emph{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., Advances in Mathematics, 136, 39--103. |
Batanin, M. 1998. Monoidal Globular Categories as a Natural Environment for the Theory of Weak n-Categories., Advances in Mathematics, 136, 39--103. |
|
|
| \bibitem{BJL81} |
\bibitem{BJL81} |
| Bell, J. L. 1981. Category Theory and the Foundations of Mathematics, \emph{British Journal for the Philosophy of Science}, 32, 349--358. |
Bell, J. L. 1981. Category Theory and the Foundations of Mathematics, \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{BA-SA83} |
\bibitem{BA-SA83} |
| Blass, A. and Scedrov, A., 1983, Classifying Topoi and Finite Forcing , Journal of Pure and Applied Algebra, 28, 111--140. |
Blass, A. and 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. and Scedrov, A., 1989, Freyd's Model for the Independence of the Axiom of Choice, Providence: AMS. |
Blass, A. and Scedrov, A., 1989, Freyd's Model for the Independence of the Axiom of Choice, Providence: AMS. |
|
|
| \bibitem{BASA92} |
\bibitem{BASA92} |
| Blass, A. and Scedrov, A., 1992. Complete Topoi Representing Models of Set Theory, Annals of Pure and Applied Logic , 57, no. 1, 1--26. |
Blass, A. and Scedrov, A., 1992. Complete Topoi Representing Models of Set Theory, Annals of Pure and Applied Logic , 57, no. 1, 1--26. |
|
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| \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. and Scott, P., 2004, Category Theory for Linear Logicians., in Linear Logic in Computer Science |
Blute, R. and Scott, P., 2004, Category Theory for Linear Logicians., in Linear Logic in Computer Science |
|
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| \bibitem{BP2k3} |
\bibitem{BP2k3} |
| Brown R. and T. Porter: 2003, Category theory and higher dimensional algebra: potential descriptive tools in neuroscience, In: {\em Proceedings of the International Conference on Theoretical Neurobiology}, Delhi, February 2003, edited by Nandini Singh, National Brain Research Centre, {\em Conference Proceedings} \textbf{1}: 80-92. |
Brown R. and T. Porter: 2003, Category theory and higher dimensional algebra: potential descriptive tools in neuroscience, In: {\em Proceedings of the International Conference on Theoretical Neurobiology}, Delhi, February 2003, edited by Nandini Singh, National Brain Research Centre, {\em Conference Proceedings} \textbf{1}: 80-92. |
|
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| \bibitem{Br-Har-Ka-Po2k2} |
\bibitem{Br-Har-Ka-Po2k2} |
| Brown, R., Hardie, K., Kamps, H. and T. Porter: 2002, The homotopy double groupoid of a Hausdorff space., |
Brown, R., Hardie, K., Kamps, H. and T. Porter: 2002, The homotopy double groupoid of a Hausdorff space., |
| \emph{Theory and Applications of Categories} \textbf{10}, 71-93. |
\emph{Theory and Applications of Categories} \textbf{10}, 71-93. |
|
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| \bibitem{Br-Sp76} |
\bibitem{Br-Sp76} |
| Brown, R. and Spencer, C.B.: 1976, Double groupoids and crossed modules, \emph{Cah. Top. G\'{e}om. Diff.} \textbf{17}, 343-362. |
Brown, R. and Spencer, C.B.: 1976, Double groupoids and crossed modules, \emph{Cah. Top. G\'{e}om. Diff.} \textbf{17}, 343-362. |
|
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| \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. |
|
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| \bibitem{BDA55} |
\bibitem{BDA55} |
| Buchsbaum, D. A.: 1955, Exact categories and duality., {\em Trans. Amer. Math. Soc.} \textbf{80}: 1-34. |
Buchsbaum, D. A.: 1955, Exact categories and duality., {\em Trans. Amer. Math. Soc.} \textbf{80}: 1-34. |
|
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| \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{BM84} |
\bibitem{BM84} |
| Bunge, M., 1984, Toposes in Logic and Logic in Toposes, {\em Topoi}, 3, no. 1, 13-22. |
Bunge, M., 1984, Toposes in Logic and Logic in Toposes, {\em 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{EC} |
\bibitem{EC} |
| Ehresmann, C.: 1965, \emph{Cat\'egories et Structures}, Dunod, Paris. |
Ehresmann, C.: 1965, \emph{Cat\'egories et Structures}, Dunod, Paris. |
|
|
| \bibitem{EC} |
\bibitem{EC} |
| Ehresmann, C.: 1966, Trends Toward Unity in Mathematics., \emph{Cahiers de Topologie et Geometrie Differentielle} |
Ehresmann, C.: 1966, Trends Toward Unity in Mathematics., \emph{Cahiers de Topologie et Geometrie Differentielle} |
| \textbf{8}: 1-7. |
\textbf{8}: 1-7. |
|
|
| \end{thebibliography} |
\end{thebibliography} |
|
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\subsubsection{b. Universal algebra, classes of algebraic structures and homology; Abelian and
|
\subsubsection{b. Universal Algebra, Classes of Algebraic Structures and Homology; Abelian and
|
|
\PMlinkname{non-Abelian theories}{NonAbelianTheories}; Algebraic
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\PMlinkname{Non-Abelian theories}{NonAbelianTheories}; Algebraic
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geometry and \PMlinkname{noncommutative geometry}{NoncommutativeGeometry}}.
|
Geometry and \PMlinkname{Noncommutative Geometry}{NoncommutativeGeometry}}.
|
| |
|
| \begin{thebibliography}{199} |
\begin{thebibliography}{199} |
|
|
| \bibitem{BHR2} |
\bibitem{BHR2} |
| Brown, R., Higgins, P. J. and R. Sivera,: 2007, \emph{Non-Abelian Algebraic Topology}, |
Brown, R., Higgins, P. J. and R. Sivera,: 2007, \emph{Non-Abelian Algebraic Topology}, |
| \PMlinkexternal{vol.I pdf doc.}{http://www.bangor.ac.uk/~mas010/nonab-t/partI010604.pdf}; |
\PMlinkexternal{vol.I pdf doc.}{http://www.bangor.ac.uk/~mas010/nonab-t/partI010604.pdf}; |
| \PMlinkexternal{Review of Part I and full contents PDF doc.}{http://planetmath.org/?op=getobj&from=lec&id=75} |
\PMlinkexternal{Review of Part I and full contents PDF doc.}{http://planetmath.org/?op=getobj&from=lec&id=75} |
|
|
| \bibitem{RB2k8} |
\bibitem{RB2k8} |
| R. Brown. 2008. {\em Higher Dimensional Algebra Preprint as pdf and ps docs. at arXiv:math/0212274v6 [math.AT]} |
R. Brown. 2008. {\em Higher Dimensional Algebra Preprint as pdf and ps docs. at arXiv:math/0212274v6 [math.AT]} |
|
|
| \bibitem{Br-Hardy76} |
\bibitem{Br-Hardy76} |
| Brown, R., and Hardy, J.P.L.:1976, Topological groupoids I: universal constructions, \emph{Math. Nachr.}, \textbf{71}: 273-286. |
Brown, R., and Hardy, J.P.L.:1976, Topological groupoids I: universal constructions, \emph{Math. Nachr.}, \textbf{71}: 273-286. |
|
|
| \bibitem{CH-ES56} |
\bibitem{CH-ES56} |
| Cartan, H. and Eilenberg, S. 1956. {\em Homological Algebra}, Princeton Univ. Press: Pinceton. |
Cartan, H. and Eilenberg, S. 1956. {\em Homological Algebra}, Princeton Univ. Press: Pinceton. |
|
|
| \bibitem{CC46} |
\bibitem{CC46} |
| Chevalley, C. 1946. The theory of Lie groups. Princeton University Press, Princeton NJ. |
Chevalley, C. 1946. The theory of Lie groups. Princeton University Press, Princeton NJ. |
|
|
| \bibitem{Chaician} |
\bibitem{Chaician} |
| M. Chaician and A. Demichev. 1996. Introduction to Quantum Groups, World Scientific . |
M. Chaician and A. Demichev. 1996. Introduction to Quantum Groups, World Scientific . |
|
|
| \bibitem{CPM65} |
\bibitem{CPM65} |
| Cohen, P.M. 1965. {\em Universal Algebra}, Harper and Row: New York, London and Tokyo. |
Cohen, P.M. 1965. {\em Universal Algebra}, Harper and Row: New York, London and Tokyo. |
|
|
| \bibitem{CA94} |
\bibitem{CA94} |
| Connes A 1994. \emph{Noncommutative geometry}. Academic Press: New York. |
Connes A 1994. \emph{Noncommutative geometry}. Academic Press: New York. |
|
|
| \bibitem{CR-LL63} |
\bibitem{CR-LL63} |
| Croisot, R. and Lesieur, L. 1963. \emph{Alg\`ebre noeth\'erienne non-commutative.}, |
Croisot, R. and Lesieur, L. 1963. \emph{Alg\`ebre noeth\'erienne non-commutative.}, |
| Gauthier-Villard: Paris. |
Gauthier-Villard: Paris. |
|
|
| \bibitem{CRL94} |
\bibitem{CRL94} |
| Crole, R.L., 1994, {\em Categories for Types}, Cambridge: Cambridge University Press. |
Crole, R.L., 1994, {\em Categories for Types}, Cambridge: Cambridge University Press. |
|
|
| \bibitem{DJ-ALEX60-71} |
\bibitem{DJ-ALEX60-71} |
|
DieudonnÃÃé, J. and Grothendieck, A., 1960, [1971], {\em ÃlÃÃéments de GÃÃéomÃÃétrie AlgÃÃébrique}, Berlin: Springer-Verlag.
|
DieudonnÃé, J. and Grothendieck, A., 1960, [1971], {\em ÃlÃéments de GÃéomÃétrie AlgÃébrique}, Berlin: Springer-Verlag.
|
|
|
| \bibitem{Dixmier} |
\bibitem{Dixmier} |
| 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.] |
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.] |
|
|
| \bibitem{Durdevich1} |
\bibitem{Durdevich1} |
| M. Durdevich : Geometry of quantum principal bundles I, Commun. Math. Phys. \textbf{175} (3) (1996), 457--521. |
M. Durdevich : Geometry of quantum principal bundles I, Commun. Math. Phys. \textbf{175} (3) (1996), 457--521. |
|
|
| \bibitem{Durdevich2} |
\bibitem{Durdevich2} |
| M. Durdevich : Geometry of quantum principal bundles II, Rev.Math. Phys. \textbf{9} (5) (1997), 531-607. |
M. Durdevich : Geometry of quantum principal bundles II, Rev.Math. Phys. \textbf{9} (5) (1997), 531-607. |
|
|
| \bibitem{Eh-pseudo} |
\bibitem{Eh-pseudo} |
| Ehresmann, C.: 1952, Structures locales et structures infinit\'esimales, \emph{C.R.A.S.} Paris \textbf{274}: 587-589. |
Ehresmann, C.: 1952, Structures locales et structures infinit\'esimales, \emph{C.R.A.S.} Paris \textbf{274}: 587-589. |
|
|
| \bibitem{Eh} |
\bibitem{Eh} |
| Ehresmann, C.: 1959, Cat\'egories topologiques et cat\'egories diff\'erentiables, \emph{Coll. G\'eom. Diff. Glob.} Bruxelles, pp.137-150. |
Ehresmann, C.: 1959, Cat\'egories topologiques et cat\'egories diff\'erentiables, \emph{Coll. G\'eom. Diff. Glob.} Bruxelles, pp.137-150. |
|
|
| \bibitem{Eh-quintettes} |
\bibitem{Eh-quintettes} |
| Ehresmann, C.:1963, Cat\'egories doubles des quintettes: applications covariantes , \emph{C.R.A.S. Paris}, \textbf{256}: 1891--1894. |
Ehresmann, C.:1963, Cat\'egories doubles des quintettes: applications covariantes , \emph{C.R.A.S. Paris}, \textbf{256}: 1891--1894. |
|
|
| \bibitem{Eh-Oe} |
\bibitem{Eh-Oe} |
| Ehresmann, C.: 1984, \emph{Oeuvres compl\`etes et comment\'ees: Amiens, 1980-84}, edited and commented by Andr\'ee Ehresmann. |
Ehresmann, C.: 1984, \emph{Oeuvres compl\`etes et comment\'ees: Amiens, 1980-84}, edited and commented by Andr\'ee Ehresmann. |
|
|
| \bibitem{EML1} |
\bibitem{EML1} |
| Eilenberg, S. and S. Mac Lane.: 1942, Natural Isomorphisms in Group Theory., \emph{American Mathematical Society 43}: 757-831. |
Eilenberg, S. and S. Mac Lane.: 1942, Natural Isomorphisms in Group Theory., \emph{American Mathematical Society 43}: 757-831. |
|
|
| \bibitem{EL} |
\bibitem{EL} |
| Eilenberg, S. and S. Mac Lane: 1945, The General Theory of Natural Equivalences, \emph{Transactions of the American Mathematical Society} \textbf{58}: 231-294. |
Eilenberg, S. and S. Mac Lane: 1945, The General Theory of Natural Equivalences, \emph{Transactions of the American Mathematical Society} \textbf{58}: 231-294. |
|
|
| \bibitem{ES-CH56} |
\bibitem{ES-CH56} |
| Eilenberg, S. \& Cartan, H., 1956, {\em Homological Algebra}, Princeton: Princeton University Press. |
Eilenberg, S. \& Cartan, H., 1956, {\em Homological Algebra}, Princeton: Princeton University Press. |
|
|
| \bibitem{ES-MCLS42} |
\bibitem{ES-MCLS42} |
| Eilenberg, S. \& MacLane, S., 1942, Group Extensions and Homology, {\em Annals of Mathematics}, 43, 757--831. |
Eilenberg, S. \& MacLane, S., 1942, Group Extensions and Homology, {\em Annals of Mathematics}, 43, 757--831. |
|
|
| \bibitem{ES-SN52} |
\bibitem{ES-SN52} |
| Eilenberg, S. \& Steenrod, N., 1952, {\em Foundations of Algebraic Topology}, Princeton: Princeton University Press. |
Eilenberg, S. \& Steenrod, N., 1952, {\em Foundations of Algebraic Topology}, Princeton: Princeton University Press. |
|
|
| \bibitem{ES60} |
\bibitem{ES60} |
| Eilenberg, S.: 1960. Abstract description of some basic functors., J. Indian Math.Soc., \textbf{24} :221-234. |
Eilenberg, S.: 1960. Abstract description of some basic functors., J. Indian Math.Soc., \textbf{24} :221-234. |
|
|
| \bibitem{S.Eilenberg} |
\bibitem{S.Eilenberg} |
| S.Eilenberg. Relations between Homology and Homotopy Groups. {\em Proc.Natl.Acad.Sci.USA} (1966),v:10--14. |
S.Eilenberg. Relations between Homology and Homotopy Groups. {\em Proc.Natl.Acad.Sci.USA} (1966),v:10--14. |
|
|
| \bibitem{ED88} |
\bibitem{ED88} |
| Ellerman, D., 1988, Category Theory and Concrete Universals, {\em Synthese}, 28, 409--429. |
Ellerman, D., 1988, Category Theory and Concrete Universals, {\em Synthese}, 28, 409--429. |
|
|
| \bibitem{ETH} |
\bibitem{ETH} |
| Ezawa,Z.F., G. Tsitsishvilli and K. Hasebe : Noncommutative geometry, extended $W_{\infty}$ algebra and Grassmannian solitons in multicomponent Hall systems, (at arXiv:hep--th/0209198). |
Ezawa,Z.F., G. Tsitsishvilli and K. Hasebe : Noncommutative geometry, extended $W_{\infty}$ algebra and Grassmannian solitons in multicomponent Hall systems, (at arXiv:hep--th/0209198). |
|
|
| \bibitem{FP2k2} |
\bibitem{FP2k2} |
| Freyd, P., 2002, Cartesian Logic, {\em Theoretical Computer Science}, 278, no. 1--2, 3--21. |
Freyd, P., 2002, Cartesian Logic, {\em Theoretical Computer Science}, 278, no. 1--2, 3--21. |
|
|
| \bibitem{FP-FH-SA87} |
\bibitem{FP-FH-SA87} |
| Freyd, P., Friedman, H. \& Scedrov, A., 1987, Lindembaum Algebras of Intuitionistic Theories and Free Categories, {\em Annals of Pure and Applied Logic}, 35, 2, 167--172. |
Freyd, P., Friedman, H. \& Scedrov, A., 1987, Lindembaum Algebras of Intuitionistic Theories and Free Categories, {\em Annals of Pure and Applied Logic}, 35, 2, 167--172. |
|
|
| \bibitem{Gablot} |
\bibitem{Gablot} |
| Gablot, R. 1971. Sur deux classes de cat\'{e}gories de Grothendieck. {\em Thesis}, Univ. de Lille. |
Gablot, R. 1971. Sur deux classes de cat\'{e}gories de Grothendieck. {\em Thesis}, Univ. de Lille. |
|
|
| \bibitem{Gabriel1} |
\bibitem{Gabriel1} |
| Gabriel, P.: 1962, Des cat\'egories ab\'eliennes, \emph{Bull. Soc. Math. France} \textbf{90}: 323-448. |
Gabriel, P.: 1962, Des cat\'egories ab\'eliennes, \emph{Bull. Soc. Math. France} \textbf{90}: 323-448. |
|
|
| \bibitem{Gabriel2} |
\bibitem{Gabriel2} |
| Gabriel, P. and M.Zisman:. 1967: \emph{Category of fractions and homotopy theory}, \emph{Ergebnesse der math.} Springer: Berlin. |
Gabriel, P. and M.Zisman:. 1967: \emph{Category of fractions and homotopy theory}, \emph{Ergebnesse der math.} Springer: Berlin. |
|
|
| \bibitem{GabrielNP} |
\bibitem{GabrielNP} |
| Gabriel, P. and N. Popescu: 1964, Caract\'{e}risation des cat\'egories ab\'eliennes |
Gabriel, P. and N. Popescu: 1964, Caract\'{e}risation des cat\'egories ab\'eliennes |
| avec g\'{e}n\'{e}rateurs et limites inductives. , \emph{CRAS Paris} \textbf{258}: 4188-4191. |
avec g\'{e}n\'{e}rateurs et limites inductives. , \emph{CRAS Paris} \textbf{258}: 4188-4191. |
|
|
| \bibitem{GA-RG-SM2k} |
\bibitem{GA-RG-SM2k} |
| Galli, A. \& Reyes, G. \& Sagastume, M., 2000, Completeness Theorems via the Double Dual Functor, |
Galli, A. \& Reyes, G. \& Sagastume, M., 2000, Completeness Theorems via the Double Dual Functor, |
| {\em Studia Logica}, \textbf{64}, no. 1: 61--81. |
{\em Studia Logica}, \textbf{64}, no. 1: 61--81. |
|
|
| \bibitem{GN} |
\bibitem{GN} |
|
Gelfan'd, I. and Naimark, M., 1943, On the Imbedding of Normed Rings into the Ring of Operators in Hilbert Space, Recueil MathÃÃématique [Matematicheskii Sbornik] Nouvelle SÃÃérie, 12 [54]: 197--213. [Reprinted in C*--algebras:
|
Gelfan'd, I. and Naimark, M., 1943, On the Imbedding of Normed Rings into the Ring of Operators in Hilbert Space, Recueil MathÃématique [Matematicheskii Sbornik] Nouvelle SÃérie, 12 [54]: 197--213. [Reprinted in C*--algebras:
|
| 1943--1993, in the series Contemporary Mathematics, 167, Providence, R.I.: American Mathematical Society, 1994.] |
1943--1993, in the series Contemporary Mathematics, 167, Providence, R.I.: American Mathematical Society, 1994.] |
|
|
| \bibitem{GS-ZM2K2} |
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