A right exactness property for internal categories

Dominique Bourn

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1988)

  • Volume: 29, Issue: 2, page 109-155
  • ISSN: 1245-530X

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Bourn, Dominique. "A right exactness property for internal categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 29.2 (1988): 109-155. <http://eudml.org/doc/91415>.

@article{Bourn1988,
author = {Bourn, Dominique},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {fibration; right exactness; Barr exactness},
language = {eng},
number = {2},
pages = {109-155},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A right exactness property for internal categories},
url = {http://eudml.org/doc/91415},
volume = {29},
year = {1988},
}

TY - JOUR
AU - Bourn, Dominique
TI - A right exactness property for internal categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1988
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 29
IS - 2
SP - 109
EP - 155
LA - eng
KW - fibration; right exactness; Barr exactness
UR - http://eudml.org/doc/91415
ER -

References

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  1. 1, M. Barr, Exact categories, Lecture Notes in Math, 236, Springer (1971), 1-120, Zbl0223.18010
  2. 2, D. Bourn, La tour de fibrations exactes des n-catégories, Cahiers Top. et Géom. 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 University de Picardie, 1985, 
  5. 4, D. Bourn, Another denormalization theorem for abelian chain complexes, Preprint 1984 (to appear), Zbl0716.18003MR1075339
  6. 5, D. Bourn, The shift functor and the comprehensive factorization for internal groupoids, Cahiers Top. et Géom. Diff. cat, XXVIII-3 (1987), 197-226. Zbl0655.18007MR923629
  7. 6 C. Cassidy, M. Hebert & G.M. Kelly, Reflective subcategories, localizations, and factorization systems, J. Austral. Math. Soc, Ser, A38 (1985), 287-329, Zbl0573.18002MR779198
  8. 7, J.W. Duskin, Simplicial methods and the interpretation of 'triple' cohomology, Mem, A.M.S. Vol, 3, n' 163 (1975). Zbl0376.18011MR393196
  9. 8 J.W. Duskin, Higher dimensional torsors and the cohomology of topoi; the abelian theory, Lecture Notes in Math, 753, Springer (1979), Zbl0444.18014MR555549
  10. 9, C. Ehresmann, Catégories et Structures, Dunod, Paris, 1965, Zbl0192.09803MR213410
  11. 10, P.J. Freyd & G.M. Kelly, Categories of continuous functors, I, J. Pure Appl. Algebra2 (1972), 169-191. Zbl0257.18005MR322004
  12. 11 J., Giraud, Cohomologie non abélienne, Springer, Berlin, 1971, Zbl0226.14011MR344253
  13. 12 J. Giraud, Classifying topos, Lecture Notes in Math, 274, Springer (1972), 43-56, Zbl0267.18014MR349807
  14. 13, P., Glenn, Realization of cohomology classes in arbitrary exact categories, J. Pure Appl, Algebra25 (1982), 33-105, Zbl0487.18015MR660389
  15. 14, J.W. Gray, Representable 2-categories (Notes, Paris1970 and) Lecture Notes in Math, 195, Springer (1970), 248-255, 
  16. 15 W. Tholen, Factorization, localization and the orthogonal subcategory problem, Math. Nachr, 114 (1983), 63-85. Zbl0553.18003MR745048

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