Descent for compact 0-dimensional spaces

• Author(s): Janelidze, George ; Sobral, Manuela
• Date: 2008
• Persistent ID: http://hdl.handle.net/10316/11237
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Comma categories; Effective descent; Effective F-descent
• Document Type: Preprint
• Language: English

Description

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.