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Title: Another Approach to Topological Descent Theory
Authors: Sobral, Manuela 
Issue Date: 2001
Citation: Applied Categorical Structures. 9:5 (2001) 505-516
Abstract: In the category Top of topological spaces and continuous functions, we prove that surjective maps which are descent morphisms with respect to the class E of continuous bijections are exactly the descent morphisms, providing a new characterization of the latter in terms of subfibrations E(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 E satisfying suitable conditions, we show that the class of effective descent morphisms coincides with the one of effective E-descent morphisms.
DOI: 10.1023/A:1012082726870
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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