Author： Sobral M.
Publisher： Springer Publishing Company
ISSN： 0927-2852
Source： Applied Categorical Structures, Vol.9, Iss.5, 2001-09, pp. : 505-516
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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.
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