Descent equivalence

Xiuzhan Guo; Manuela Sobral; Walter Tholen

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2004)

  • Volume: 45, Issue: 4, page 301-315
  • ISSN: 1245-530X

How to cite

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Guo, Xiuzhan, Sobral, Manuela, and Tholen, Walter. "Descent equivalence." Cahiers de Topologie et Géométrie Différentielle Catégoriques 45.4 (2004): 301-315. <http://eudml.org/doc/91689>.

@article{Guo2004,
author = {Guo, Xiuzhan, Sobral, Manuela, Tholen, Walter},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {descent; descent equivalence; fibred categories},
language = {eng},
number = {4},
pages = {301-315},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Descent equivalence},
url = {http://eudml.org/doc/91689},
volume = {45},
year = {2004},
}

TY - JOUR
AU - Guo, Xiuzhan
AU - Sobral, Manuela
AU - Tholen, Walter
TI - Descent equivalence
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2004
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 45
IS - 4
SP - 301
EP - 315
LA - eng
KW - descent; descent equivalence; fibred categories
UR - http://eudml.org/doc/91689
ER -

References

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  1. [1] A. Grothendieck, Technique de descente et théoremes d'existence en géometrie algébrique, I. Géneralités. Descente par morphismes fidélement plats, Séminaire Bourbaki190, 1959. Zbl0229.14007
  2. [2] A. Grothendieck, Catégories fibrées et descente, Exposé VI, in: Revêtements Etales et Groupe Fondamental (SGA1), Lecture Notes in Mathematics224, Springer (Berlin), 1971, 145-194. MR354651
  3. [3] Xiuzhan Guo, Monadicity, Purity, and Descent equivalence, Ph.D. thesis, York University, 2000. 
  4. [4] G. Janelidze and W. Tholen, Facets of descent, I, Appl. Categorical Structures2 (1994), 1-37. Zbl0805.18005MR1285884
  5. [5] G. Janelidze and W. Tholen, Facets of descent, II, Appl. Categorical Structures5 (1997), 229-248. Zbl0880.18007MR1466540
  6. [6] P.T. Johnstone, Topos Theory, Academic Press, New York, 1977. Zbl0368.18001MR470019
  7. [7] S. Mac Lane and R. Paré, Coherence in bicategories and indexed categories, J. Pure Appl. Algebra37 (1985), 59-80. Zbl0567.18003MR794793
  8. [8] R. Paré and D. Schumacher, Abstract families and the adjoint functor theorem, Lecture Notes in Mathematics661, Springer (Berlin), 1978, 1-125. Zbl0389.18002MR514193
  9. [9] J. Reiterman, M. Sobral, and W. Tholen, Composites of effective descent maps, Cahiers Topologie Geom. Différentielle Catégoriques34 (1993), 193-207. Zbl0792.18001MR1239468
  10. [10] M. Sobral and W. Tholen, Effective descent morphisms and effective equivalence relations, CMS Conference Proceedings, vol.13 (AMS, Providence, R.I., 1992), 421-433. Zbl0792.18002MR1192162

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