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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. | URI: | https://hdl.handle.net/10316/7746 | DOI: | 10.1023/A:1012082726870 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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