Autor(es):
Sobral, Manuela 
Data: 1998
Identificador Persistente: http://hdl.handle.net/10316/11229
Origem: Estudo Geral - Universidade de Coimbra
Detalhes do Documento
Another approach to topological descent theory
Descrição
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
Tipo de Documento
Preprint
Idioma Inglês
Idioma Inglês
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