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Using the reflection of the category C of compact 0-dimensional topological spaces into the category of Stone spaces we introduce a concept of a fibration in C. We show that: (i) effective descent morphisms in C are the same as the surjective fibrations; (ii) effective descent morphisms in C with respect to the fibrations are all surjections.
@article{TAC_2008_21_a9, author = {George Janelidze and Manuela Sobral}, title = {Descent for compact 0-dimensional spaces}, journal = {Theory and applications of categories}, pages = {182--190}, publisher = {mathdoc}, volume = {21}, year = {2008}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_2008_21_a9/} }
George Janelidze; Manuela Sobral. Descent for compact 0-dimensional spaces. Theory and applications of categories, The Tholen Festschrift, Tome 21 (2008), pp. 182-190. http://geodesic.mathdoc.fr/item/TAC_2008_21_a9/