Some aspects of topological descent

Applied Categorical Structures

Volumn 4, Issue 1, 1996, Pages 97-106

  Sobral, Manuela ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

(Effective) descent map; Descent data; Effective equivalence relation; tale descent; Monad; Monadic functor; Universal regular epimorphism

Indexed keywords

EID: 0010656244     PISSN: 09272852     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00124118     Document Type: Article

References (10)

1. Bénabou, J. and Roubaud, J.: Monades et descente, C.R. Acad. Sc. 270 (1970), 96-98.
2. Day, B. J. and Kelly, G. M.: On topological quotient maps preserved by pullbacks, Proc. Cambridge Phil. Soc. 67 (1970), 553-558.
3. Kock, A.: Fibre bundles in general categories, J. Pure Appl. Algebra 56 (1989), 233-245.
4. Janelidze, G. and Tholen, W.: How algebraic is the change-of-base functor?, in Lect. Notes in Math. 1448, Springer, Berlin, 1991, pp. 157-173.
5. Janedidze, G. and Tholen, W.: Facets of descent I, Applied Cat. Struct. 2 (1994), 245-281.
6. Janelidze, G. and Tholen, W.: Facets of descent II, Applied Cat. Struct. (to appear).
7. Moerdijk, I.: Descent theory for toposes, Bull. Soc. Math. Belgique 41 (1989), 373-391.
8. Reiterman, J., Sobral, M., and Tholen, W.: Composites of effective descent maps, Cahiers Topologie Géom. Differentiele Catégoriques XXXIV(3) (1993), 193-207.
9. Reiterman, J. and Tholen, W.: Effective descent maps of topological spaces, Topology Appl. 57 (1994), 53-69.
10. Sobral, M. and Tholen, W.: Effective descent morphisms and effective equivalence relations, in CMS Conference Proceedings, Vol. 13, AMS, Providence, RI, 1992, pp. 421-433.