Descent for compact 0-dimensional spaces

• Autor(es): Janelidze, George ; Sobral, Manuela
• Data: 2008
• Identificador Persistente: http://hdl.handle.net/10316/11237
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Comma categories; Effective descent; Effective F-descent
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

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.