The shift functor and the comprehensive factorization for internal groupoids

Dominique Bourn

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1987)

  • Volume: 28, Issue: 3, page 197-226
  • ISSN: 1245-530X

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Bourn, Dominique. "The shift functor and the comprehensive factorization for internal groupoids." Cahiers de Topologie et Géométrie Différentielle Catégoriques 28.3 (1987): 197-226. <http://eudml.org/doc/91404>.

@article{Bourn1987,
author = {Bourn, Dominique},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {exact category; simplicial objects; discrete fibration; internal groupoids; shift functor; split epimorphisms; adjoint lifting theorem for groupoids},
language = {eng},
number = {3},
pages = {197-226},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The shift functor and the comprehensive factorization for internal groupoids},
url = {http://eudml.org/doc/91404},
volume = {28},
year = {1987},
}

TY - JOUR
AU - Bourn, Dominique
TI - The shift functor and the comprehensive factorization for internal groupoids
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1987
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 28
IS - 3
SP - 197
EP - 226
LA - eng
KW - exact category; simplicial objects; discrete fibration; internal groupoids; shift functor; split epimorphisms; adjoint lifting theorem for groupoids
UR - http://eudml.org/doc/91404
ER -

References

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  2. 2, D. Bourn, La tour de fibrations exactes des n-catégories, Cahiers Top. at Geom. Diff, XXV-4 (1984), 327-351, Zbl0562.18007MR789133
  3. 3, D. Bourn, a) Une théorie de cohomologie pour les catégories exactes, C.R.A.S., Paris Série A, 303 (1986), 173-176, Zbl0593.18009MR854727
  4. b) Higher cohomology groups as classes of principal group actions, Preprint, Université de Picardie, 1985, 
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  6. 5, C. Cassidy, M. Hebert & G.M. Kelly, Reflective subcategories, Iocalizations, and factorization systems, J. Austral. Math. Soc, Ser, A, 38 (1985), 287-329, Zbl0573.18002MR779198
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  9. 8, S., Eilenberg& S., Mac Lane, On the groups H(π,n), I. Ann. of Math, 58 (1953), 55-106, Zbl0050.39304
  10. 9, P.J. Freyd & G.M. Kelly, Categories of continuous functors, I, J. Pure & Appl. Algebra2 (1972), 169-191. Zbl0257.18005MR322004
  11. 10 P., Glenn, Realization of cohomology classes in arbitrary exact categories, J, Pure & Appl, Algebra25 (1982), 33-105, Zbl0487.18015MR660389
  12. 11, L. Illusie, Complexe cotangent et deformations, II, Lecture Notes in Math, 283, Springer (1972), Zbl0238.13017MR491681
  13. 12, P.T. Johnstone, Topos Theory, Academic Press, 1977, Zbl0368.18001MR470019
  14. 13, R. Street & R.F.C. Walters, The comprehensive factorization of a functor, Bul. of the A.M.S. vol. 75, n°5 (1973), 935-941, Zbl0274.18001MR346027
  15. 14 W. Tholen, Factorization, localization and the orthogonal subcategory problem, Math. Nachr, 114 (1983), 63-85, Zbl0553.18003MR745048

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