Stacks and equivalence of indexed categories

Marta Bunge; Robert Pare

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 4, page 373-399
  • ISSN: 1245-530X

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Bunge, Marta, and Pare, Robert. "Stacks and equivalence of indexed categories." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.4 (1979): 373-399. <http://eudml.org/doc/91222>.

@article{Bunge1979,
author = {Bunge, Marta, Pare, Robert},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {indexed category; topos; site; Morita equivalence for category objects; stack completions},
language = {eng},
number = {4},
pages = {373-399},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Stacks and equivalence of indexed categories},
url = {http://eudml.org/doc/91222},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Bunge, Marta
AU - Pare, Robert
TI - Stacks and equivalence of indexed categories
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 4
SP - 373
EP - 399
LA - eng
KW - indexed category; topos; site; Morita equivalence for category objects; stack completions
UR - http://eudml.org/doc/91222
ER -

References

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  1. 1 M. Barr, Exact categories, in Exact categories and categories of sheaves, Lecture Notes in Math.236, Springer (1970), 1-120. Zbl0223.18010
  2. 2 M. Bunge, Stack completions and Morita equivalence for categories in a topos, Cahiers Topo. et Géo. Diff., same issue. Zbl0432.18004
  3. 3 J. Duskin, Variations on Beck's tripleability criterion, in Reports of the Midwest Cat. Seminar III, Lecture Notes in Math.106, Springer (1969), 74. Zbl0211.32501MR252471
  4. 4 J. GirAUD, Cohomologie non abélienne, Springer, Berlin, 1971. Zbl0226.14011MR344253
  5. 5 J. Giraud, Classifying topos, in Toposes, Algebraic Geometry and Logic, Lecture Notes in Math.274, Springer (1972), 43-56. Zbl0267.18014MR349807
  6. 6 A. Grothendieck, Technique et descente et théorèmes d'existence en Géométrie Algébrique, Séminaire Bourbaki n° 190 (1959/60). Zbl0229.14007
  7. 7 R.P. Are & D. Schumacher, Abstract families and the adjoint functor Theorems, in Indexed categories and their applications, Lecture Notes in Math.661, Springer (1978), 1-125. Zbl0389.18002MR514193
  8. 8 G. Wraith, Lecture on elementary topoi, in Model theory and Topoi, Lecture Notes in Math.445, Springer (1975), 114-206. Zbl0323.18005MR393179
  9. 9 G. Wraith, Locally equivalent toposes, Manuscript, Univ. Sussex, 1977. Zbl0432.18002MR577506
  10. 10 J. Benabou & J. Roubaud, Monades et descente, C. R. A. S.Paris270 (1970), A, 96-98. Zbl0287.18007MR255631

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