An outline of non-abelian cohomology in a topos : (I) The theory of bouquets and gerbes

John Duskin

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1982)

  • Volume: 23, Issue: 2, page 165-191
  • ISSN: 1245-530X

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Duskin, John. "An outline of non-abelian cohomology in a topos : (I) The theory of bouquets and gerbes." Cahiers de Topologie et Géométrie Différentielle Catégoriques 23.2 (1982): 165-191. <http://eudml.org/doc/91296>.

@article{Duskin1982,
author = {Duskin, John},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {non-abelian cohomology theory; groupoid objects; bouquets; liens; Grothendieck topos; connected components; fibered categories; gerbes; stacks; torsor; sheaf of groups; sheaf of groupoids},
language = {eng},
number = {2},
pages = {165-191},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {An outline of non-abelian cohomology in a topos : (I) The theory of bouquets and gerbes},
url = {http://eudml.org/doc/91296},
volume = {23},
year = {1982},
}

TY - JOUR
AU - Duskin, John
TI - An outline of non-abelian cohomology in a topos : (I) The theory of bouquets and gerbes
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1982
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 23
IS - 2
SP - 165
EP - 191
LA - eng
KW - non-abelian cohomology theory; groupoid objects; bouquets; liens; Grothendieck topos; connected components; fibered categories; gerbes; stacks; torsor; sheaf of groups; sheaf of groupoids
UR - http://eudml.org/doc/91296
ER -

References

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  1. A Rtin, M., Grothendieck topologies, Lecture NotesHarvard Univ.1962. Zbl0208.48701
  2. Barr, M., Grillet, P. & Van Osdol, D., Exact categories and categories of sheaves, Lecture Notes in Math.236 (1971), Springer. Zbl0223.18009
  3. Bunge, M., Essential points and stack completions, Preprint Mc Gill Univ., 1979. Zbl0432.18004
  4. Dem Azure, M., Topologies et faisceaux, SGA 3, Exposé IV, Lecture Notes in Math.151, Springer (1970). 
  5. Ehresmann, C., Cohomologie non abélienne, CBRM1964; in Charles Ehresmann, Oeuvres complètes et commentées, Partie III -2, Amiens, 1981. 
  6. Giraud, J., Cohomologie non abélienne, Grundlehren d. Math. Wiss. 179, Springer1971. Zbl0226.14011MR344253
  7. Giraud, J., Méthode de la descente, Bull. Soc. Math. France90 (1962), 323-448. Zbl0211.32902
  8. Grothendieck, A., Techniques de construction en Géométrie Analytique IV, Sém. H. Cartan (1960/61), Exposé 11, E.N.S.Paris, 1962. 
  9. Grothendieck, A., Technique de descente et théorèmes d'existence en Géométrie Algébrique I, Séminaire Bourbaki12e année, Exp. 190. Paris (1959). 
  10. Grothendieck, A., Catégories fibrées et descente, SGA I, Exposé VI, Lecture Notes in Math.224, Springer (1971). 
  11. Johnstone, P., Topos theory, London Math. Soc. Monog. 10, Acad. Press1977. Zbl0368.18001
  12. Joyal, A., Private lecture, SU N Y at Buffalo, December 1974. 
  13. Penon, J., Private letter of 26 July 1979. 

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