The classifying topos of a continuous groupoid. II

Ieke Moerdijk

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1990)

  • Volume: 31, Issue: 2, page 137-168
  • ISSN: 1245-530X

How to cite

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Moerdijk, Ieke. "The classifying topos of a continuous groupoid. II." Cahiers de Topologie et Géométrie Différentielle Catégoriques 31.2 (1990): 137-168. <http://eudml.org/doc/91455>.

@article{Moerdijk1990,
author = {Moerdijk, Ieke},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {geometric morphism; bispaces; bicategory; groupoid object in the category of spaces; category of toposes; groupoid action; continuous groupoid; étale G-spaces; calssifying topos; completion; continuous category},
language = {eng},
number = {2},
pages = {137-168},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The classifying topos of a continuous groupoid. II},
url = {http://eudml.org/doc/91455},
volume = {31},
year = {1990},
}

TY - JOUR
AU - Moerdijk, Ieke
TI - The classifying topos of a continuous groupoid. II
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1990
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 31
IS - 2
SP - 137
EP - 168
LA - eng
KW - geometric morphism; bispaces; bicategory; groupoid object in the category of spaces; category of toposes; groupoid action; continuous groupoid; étale G-spaces; calssifying topos; completion; continuous category
UR - http://eudml.org/doc/91455
ER -

References

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  1. 1 J. Benabou, Introduction to bicategories. Lecture Notes in Math. 47 (1967), 1-77. MR220789
  2. 2 P. Gabriel& M. Zisman, Calculus of fractions and homotopy theory, Springer1976. Zbl0186.56802
  3. 3 J.M.E. Hyland, Function spaces in the category of locales, Lecture Notes in Math.871 (1981). Zbl0483.54005
  4. 4 P.T. Johnstone.Stone spaces. Cambridge Univ. Press1982. Zbl0499.54001MR698074
  5. 5 P.T. Johnstone& A. Joyal, Continuous categories and exponential toposes. J. Pure & Appl. Algebra25 (1981). Zbl0487.18003MR666021
  6. 6 A. Joyal& M. Tierney, An extension of the Galois theory of Grothendieck, Memoirs A.M.S.309 (1984). Zbl0541.18002MR756176
  7. 7 I. Moerdijk, The classifying topos of a continuous groupoid I, Trans. A.M.S.310 (1988), 629-668. Zbl0706.18007MR973173
  8. 8 I. Moerdijk, Morita equivalence for continuous groups, Math. Proc. Cambridge Phil. Soc.103 (1988), 97-115. Zbl0648.22001MR913455
  9. 9 I. Moerdijk& G.C. Wraith.Connected locally connected toposes are path-connected. Trans. A.M.S.295 (1986). 849-59. Zbl0592.18003MR833712
  10. 10 A.M. Pitts, Applications of sup-lattice enriched category theory to sheaf theory, Proc. London Math. Soc. (3) 57 (1988). Zbl0619.18005MR960096
  11. 11 B. Reinhart, Differential Geometry of foliations. Springer1983. Zbl0506.53018MR705126
  12. 12 M. Artin. A. Grothendieck & J.L. Verdier.Théorie des topos et cohomologie étale des schémas, Lecture Notes in Math.269, Springer (19??). Zbl0234.00007

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