Etendues and stacks as bicategories of fractions

Dorette A. Pronk

Compositio Mathematica (1996)

  • Volume: 102, Issue: 3, page 243-303
  • ISSN: 0010-437X

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Pronk, Dorette A.. "Etendues and stacks as bicategories of fractions." Compositio Mathematica 102.3 (1996): 243-303. <http://eudml.org/doc/90454>.

@article{Pronk1996,
author = {Pronk, Dorette A.},
journal = {Compositio Mathematica},
keywords = {-spaces; bicategory of fractions; 2-category of toposes; étale groupoids; weak equivalences; equivalence of bicategories; differentiable stacks; schemes; algebraic stacks; étendues},
language = {eng},
number = {3},
pages = {243-303},
publisher = {Kluwer Academic Publishers},
title = {Etendues and stacks as bicategories of fractions},
url = {http://eudml.org/doc/90454},
volume = {102},
year = {1996},
}

TY - JOUR
AU - Pronk, Dorette A.
TI - Etendues and stacks as bicategories of fractions
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 102
IS - 3
SP - 243
EP - 303
LA - eng
KW - -spaces; bicategory of fractions; 2-category of toposes; étale groupoids; weak equivalences; equivalence of bicategories; differentiable stacks; schemes; algebraic stacks; étendues
UR - http://eudml.org/doc/90454
ER -

References

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  7. Gabriel, P. and Zisman, M.: Calculus of Fractions and Homotopy Theory, Springer-Verlag, New York, 1967. Zbl0186.56802MR210125
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  11. Kelly, G.M.: On Maclane's conditions for coherence of natural associativities, commutativities, etc., Journal of Algebra1 (1964) 397-402. Zbl0246.18008MR182649
  12. Knutson, D.: Algebraic Spaces, L.N.M. 203, Springer-Verlag, New York, 1971. Zbl0221.14001MR302647
  13. Maclane, S.: Categories for the Working Mathematician, Springer-Verlag, New York, 1971. Zbl0705.18001MR354798
  14. Milne, J.S.: Etale Cohomology, Princeton University Press, Princeton, New Jersey, 1980. Zbl0433.14012MR559531
  15. Moerdijk, I.: Toposes and groupoids, in Categorical Algebra and its Applications (ed. F. Borceux), L.N.M.1348, Springer-Verlag, New York, 1988,280-298. Zbl0659.18008MR975977
  16. Moerdijk, I.: The classifying topos of a continuous groupoid. I, Transactions of the A.M.S.310-2 (1988) 629-668. Zbl0706.18007MR973173
  17. Moerdijk, I.: Descent theory for toposes, Bulletin de la Société Mathématique de Belgique (série A) tome XLI Fasc. 2 (1989) 373-391. Zbl0688.18003MR1031756
  18. Moerdijk, I.: The classifying topos of a continuous groupoid. II, Cah. de top. et Géom. Diff. Cat.31-2 (1990) 137-168. Zbl0717.18001MR1080241
  19. Moerdijk, I.: Classifying toposes and foliations, Ann. Inst. Fourier41, Grenoble (1991) 189-209. Zbl0727.57029MR1112197
  20. Moerdijk, I.: Foliations, groupoids and Grothendieck étendues, Publ. del Sem. Mat. Garcia de Galdeano, serie II, no. 17 (1993), Universidad de Zaragoza. Zbl0804.57014MR1268130
  21. Rosenthal, K.: Etendues and categories with monic maps, J. Pure and Appl. Algebra22 (1981) 193-212. Zbl0473.18004MR624572
  22. Serre, J.-P.: Lie Algebras and Lie Groups, reprinted as L.N.M. 1500, Springer-Verlag, New York, 1992. Zbl0742.17008MR1176100

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