Cohomology without projectives
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 48 (2007) no. 2, p. 104-153
@article{CTGDC_2007__48_2_104_0,
     author = {Bourn, Dominique and Rodelo, Diana},
     title = {Cohomology without projectives},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {48},
     number = {2},
     year = {2007},
     pages = {104-153},
     zbl = {1137.18007},
     mrnumber = {2336733},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_2007__48_2_104_0}
}
Bourn, Dominique; Rodelo, Diana. Cohomology without projectives. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Volume 48 (2007) no. 2, pp. 104-153. http://www.numdam.org/item/CTGDC_2007__48_2_104_0/

[1] M. Barr, Exact categories, Springer L.N. in Math., 236, 1971, pp 1-120. | Zbl 0223.18010

[2] F. Borceux and D. Bourn, Mal'cev, protomodular, homological and semi-abelian categories, Kluwer, Mathematics and its application, vol. 566, 2004, 479 pp. | MR 2044291 | Zbl 1061.18001

[3] N. Bourbaki, Topologie Générale, Ch. III, Hermann, 1951.

[4] D. Bourn, The tower of n-groupoids and the long cohomology sequence, J. Pure Appl. Algebra, 62, 1989, 137-183. | MR 1027753 | Zbl 0699.18002

[5] D. Bourn, Another denormalization theorem for abelian chain complexes, J. Pure Appl. Algebra, 66, 1990, 229-249. | MR 1075339 | Zbl 0716.18003

[6] D. Bourn, Mal'cev categories and fibration of pointed objects, Applied Categorical Structures, 4, 1996, 307-327. | MR 1406105 | Zbl 0856.18004

[7] D. Bourn, Baer sums and fibered aspects of Mal'cev operations, Cahiers de Top. et Géom. Diff. Catégoriques, 40, 1999, 297-316. | Numdam | MR 1734248 | Zbl 0988.18006

[8] D. Bourn, Aspherical abelian groupoids and their directions, J. Pure Appl. Algebra, 168, 2002, 133-146. | MR 1887154 | Zbl 1015.18001

[9] D. Bourn, Baer sums in homological catégories, J. Algebra, 308, 2007, 414-443. | MR 2290929 | Zbl 1134.18004

[10] D. Bourn and M. Gran, Centrality and connectors in Maltsev categories, Algebra Universalis, 48, 2002, 309-331. | MR 1954778 | Zbl 1061.18006

[11] A. Carboni, J. Lambek and M.C. Pedicchio, Diagram chasing in Mal'cev categories, J. Pure Appl. Algebra, 69, 1990, 271-284. | MR 1090744 | Zbl 0722.18005

[12] A. Carboni, M.C. Pedicchio and N. Pirovano, Internal graphs and internal groupoids in Mal'cev categories, Canadian Math.Soc.Conference proceedings, vol.13, 1992, pp. 97-109. | MR 1192142 | Zbl 0791.18005

[13] J.W. Duskin, Simplicial methods and the interpretation of triple cohomology, Memoirs Amer. Math. Soc., 163, 1975, pp. M R 52/14006. | Zbl 0376.18011

[14] P.G. Glenn, Realization of cohomology classes in arbitary exact categories, J. Pure Appl. Algebra, 25, 1982, 33-105. | MR 660389 | Zbl 0487.18015

[15] P. J. Hilton and U. Stammbach, A course in Homological Algebra, Springer, Graduate Texts in Math., 4, 1971. | MR 346025 | Zbl 0238.18006

[16] D. Holt, An interpretation of the cohomology groups Hn(G,M), J. Algebra, 60, 1979, 307-318. | MR 549932 | Zbl 0699.20040

[17] J. Huebschmann, Crossed n-fold extensions of groups and cohomology, Comment. Math. Helv., 55, 1980, 302-314. | MR 576608 | Zbl 0443.18019

[18] P.T. Johnstone, Affine categories and naturally Mal'cev categories, J. Pure Appl. Algebra, 61, 1989, 251-256. | MR 1027744 | Zbl 0683.18007

[19] S. Mac Lane, Homology, Springer, 1963. | MR 1344215

[20] D. Rodelo, Direcções para a sucessão longa de co-homologia, Thesis, Coimbra, 2005.

[21] C.A. Weibel, An introduction to homological algebra, Cambridge Univ. Press, 1994. | MR 1269324 | Zbl 0834.18001