Composites of effective descent maps

Jan Reiterman; Manuela Sobral; Walter Tholen

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)

  • Volume: 34, Issue: 3, page 193-207
  • ISSN: 1245-530X

How to cite

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Reiterman, Jan, Sobral, Manuela, and Tholen, Walter. "Composites of effective descent maps." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.3 (1993): 193-207. <http://eudml.org/doc/91524>.

@article{Reiterman1993,
author = {Reiterman, Jan, Sobral, Manuela, Tholen, Walter},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {effective descent morphism; descent data},
language = {eng},
number = {3},
pages = {193-207},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Composites of effective descent maps},
url = {http://eudml.org/doc/91524},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Reiterman, Jan
AU - Sobral, Manuela
AU - Tholen, Walter
TI - Composites of effective descent maps
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 3
SP - 193
EP - 207
LA - eng
KW - effective descent morphism; descent data
UR - http://eudml.org/doc/91524
ER -

References

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  1. [B] R. Börger, Making factorizations compositive, Comment. Math. Univ. Carolinae32 (1991), 749-759. Zbl0760.18001MR1159822
  2. [B-R] J. Bénabou and J. Roubaud, Monades et descente, C.R. Acad. Sc.270 (1970) 96-98. Zbl0287.18007MR255631
  3. [D-K] B. Day and G.M. Kelly, On topological quotient maps preserved by pullbacks or porducts, Proc. Cambridge Phil. Soc.67 (1970) 553-558. Zbl0191.20801MR254817
  4. [G-U] P. Gabriel and F. Ulmer, Lokal präsentierbare Kategorien, Lecture Notes in Math.221 (Springer, Berlin1971). Zbl0225.18004MR327863
  5. [J-T1] G. Janelidze and W. Tholen, How algebraic is the change-of-base functor ?, Lecture Notes in Math.1488 (Springer, Berlin1991) pp. 174-186. Zbl0802.18005MR1173011
  6. [J-T2] G. Janelidze and W. Tholen, Facets of descent, I, Applied Categorical Structures (to appear). Zbl0805.18005MR1285884
  7. [J-T3] G. Janelidze and W. Tholen, Facets of descent, II, preprint (York University, 1993). MR1466540
  8. [K] G.M. Kelly, Monomorphisms, epimorphisms, and pullbacks, J. Austral. Math. Soc. A9 (1969) 124-142. Zbl0169.32604MR240161
  9. [P1] D. Pavlović, Predicates and Fibrations, Ph.D. thesis (Rijksuniversiteit Utrecht1990). 
  10. [P2] D. PavlovićCategorical interpolation: descent and the Beck-Chevalley condition without direct images, Lecture Notes in Math.1488 (Springer, Berlin1991) pp. 306-325. Zbl0736.18005MR1173021
  11. [R-T] J. Reiterman and W. Tholen, Effective descent maps of topological spaces, Topology Appl. (to appear). Zbl0829.54011MR1271335
  12. [S-T] M. Sobral and W. Tholen, Effective descent morphisms and ef fective equivalence relations, CMS Conference Proceedings, vol. 13 (AMS, Providence, R.I., 1992) pp. 421-433. Zbl0792.18002MR1192162

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