Author(s):
Sobral, Manuela 
Date: 1998
Persistent ID: http://hdl.handle.net/10316/11229
Origin: Estudo Geral - Universidade de Coimbra
Document details
Another approach to topological descent theory
Description
In the category Top of topological spaces and continuous functions, we prove that descent morphisms with respect to the class IE of continuous bijections are exactly the descent morphisms, providing a new characterization of the latter in terms of subfibrations IE(X) of the basic fibration given by Top/X which are, essentially, complete lattices. Also effective descent morphisms are characterized in terms of effective morphisms with respect to continuous bijections. For classes IE satisfying suitable conditions, we show that the class of effective descent morphisms coincides with the one of effective IE-descent morphisms. CMUC/FCT PRAXIS Projects 2/2.1/MAT/46/94, PCEX/P/MAT/46/94
In the category Top of topological spaces and continuous functions, we prove that descent morphisms with respect to the class IE of continuous bijections are exactly the descent morphisms, providing a new characterization of the latter in terms of subfibrations IE(X) of the basic fibration given by Top/X which are, essentially, complete lattices. Also effective descent morphisms are characterized in terms of effective morphisms with respect to continuous bijections. For classes IE satisfying suitable conditions, we show that the class of effective descent morphisms coincides with the one of effective IE-descent morphisms. CMUC/FCT PRAXIS Projects 2/2.1/MAT/46/94, PCEX/P/MAT/46/94
Document Type
Preprint
Language English
Language English
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