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Book: CATEGORIES AND GROUPOIDS
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CATEGORIES AND GROUPOIDS
Authors: P. J. HIGGINS
Uploaded by:
bci1
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- Comments:
- Reprints in Theory and Applications of Categories, No. 7, 1971, pp. 1--195.
- Abstract:
- Basic categories, groupoids and group concepts. Fundamental groupoids of topological spaces. Group and groupoid homology. Calculation of fundamental groups.
Additional References
[28] M. Barr and C. Wells,Toposes, triples and theories, Grundl. der Math.
Wissenschaft 278 (Springer-Verlag, New York, 1984).
[29] J. Benabou, Structures algebriques dans les categories, Cahiers Topologie Geom. Differentielle 10 (1968), 1--126.
[30] G. Birkhoff and J. D. Lipson, Heterogeneous algebras, J. Combinatorial
Theory 8 (1970), 115--133.
[31] F. Borceux and G. Janelidze, Galois theories, Studies in Advanced Mathematics
72 (Cambridge University Press, 2001).
[32] R. Brown, From groups to groupoids: a brief survey, Bull.London Math.
Soc. 19 (1987), 113--134.
[33] R. Brown and P.J.Higgins, Colimit theorems for relative homotopy groups,
J. Pure Appl. Algebra 22 (1981), 11-14.
[34] R. Brown and R. Sivera, Nonabelian algebraic topology, (in preparation).
[35] R. Brown and C. B. Spencer, Double groupoids and crossed modules,
Cahiers Topologie GÃeom. Differentielle 17 (1976), 343--362.
[36] R Brown and A.Razak Salleh, A van Kampen theorem for unions of nonconnected
spaces, Archiv. Math. 42 (1984) 85--88.
[37] H. Cartan and S. Eilenberg, Homological Algebra (Princeton University
Press, 1956).
[38] R. B. Coates, Semantics of generalised algebraic structures (Ph. D. thesis,
University of London, 1974).
[39] P. M. Cohn, Universal Algebra (Harper and Row, New York, 1965).
[40] A. Connes, Non--commutative geometry (Academic Press, 1994).
[41] D. Corfield, Towards a philosophy of real mathematics (Cambridge University
Press, 2003).
[42] P. Freyd, Aspects of topoi, Bull. Australian Math. Soc. 7 (1972), 1--76.
[43] P. Gabriel and F. Ulmer, Lokal prasentierbare Kategorien, Lecture Notes
Transmitted to TAC by R. Brown, P.T. Johnstone, R.Street. Reprint published on 2005-01-02. 2000 Mathematics Subject Classification: 20L05, 18-01, 20E07, 20J05, 18B40, 18G30, 55Q05.
Originally published by Van Nostrand Reinhold, 1971
Received by the editors 2004-08-15.
- Rights:
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http://www.tac.mta.ca/tac/reprints/articles/7/tr7.pdf
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