@article{CTGDC_2010__51_2_83_0,
author = {Vitale, Enrico M.},
title = {Bipullbacks and calculus of fractions},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {51},
year = {2010},
pages = {83-113},
mrnumber = {2667978},
zbl = {1226.18006},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_2010__51_2_83_0}
}
Vitale, Enrico M. Bipullbacks and calculus of fractions. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) pp. 83-113. http://gdmltest.u-ga.fr/item/CTGDC_2010__51_2_83_0/
[1] and , Higher-dimensional algebra VI: Lie 2-algebras, Theory and Applications of Categories 12 (2004) 492-538. | MR 2068522 | Zbl 1057.17011
[2] , Exact categories, Springer LNM 236 (1971) 1-120. | MR 292903
[3] , Introduction to bicategories, Springer LNM 40 (1967) 1-77. | MR 220789
[4] , Some remarks on 2-categorical agebra, Bulletin de la Société Mathématique de Belgique 41 (1989) 127-194. | MR 1031748 | Zbl 0687.18006
[5] , Handbook of Categorical Algebra 1, Cambridge University Press (1994). | MR 1315049 | Zbl 0911.18001
[6] , Handbook of Categorical Algebra 2, Cambridge University Press (1994). | MR 1313497 | Zbl 0911.18001
[7] and , Mal'cev, Protomodular, Homological and Semi-abelian Categories, Kluwer Academic Publishers (2004). | Zbl 1061.18001
[8] , Normalization equivalence, kernel equivalence and affine categories, Springer LNM 1488 (1991) 43-62. | Zbl 0756.18007
[9] and , Regular, protomodular and abelian categories. In: Categorical Foundations, M.C. Pedicchio and W. Tholen Editors, Cambridge University Press (2004) 165-211. | MR 2056583 | Zbl 1042.18009
[10] and , Stacks and equivalence of indexed categories, Cahiers de Topologie et Géométrie Différentielle Catégorique 20 (1979) 373-399. | Numdam | MR 558105 | Zbl 0432.18003
[11] , and , Internal graphs and internal groupoids in Mal'cev categories, CMS Conference Proceedings 13 (1992) 97-109. | Zbl 0791.18005
[12] , Abelian categories in dimension 2, arXiv: 0809.1760 (2008).
[13] , and , Model structures for homotopy of internal categories, Theory and Applications of Categories 15 (2005) 66-94. | MR 2210576 | Zbl 1085.18013
[14] and , Calculus of Fractions and Homotopy Theory, Springer (1967). | MR 210125 | Zbl 0186.56802
[15] , Notes on 2-groupoids, 2-groups and crossed modules, Homology, Homotopy and Applications 9 (2007) 75-106. | MR 2280287 | Zbl 1221.18002
[16] , Etendues and stacks as bicategories of fractions, Compositio Mathematica 102 (1996) 243-303. | Numdam | MR 1401424 | Zbl 0871.18003