Model categories and cubical descent
We prove that the subcategory of fibrant objects of a simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro, if and only if an acyclicity criterion holds.
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| Formato: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/1083 |
| Acesso em linha: | https://hdl.handle.net/2117/1083 |
| Access Level: | acceso abierto |
| Palavra-chave: | Algebra, Homological Homotopy theory Model categories (Mathematics) Cubical descent categories Acyclicity criterion Homotopia, Teoria de l' Àlgebra homològica Classificació AMS::18 Category theory homological algebra::18G Homological algebra Classificació AMS::55 Algebraic topology::55P Homotopy theory Classificació AMS::55 Algebraic topology::55U Applied homological algebra and category theory |
| Resumo: | We prove that the subcategory of fibrant objects of a simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro, if and only if an acyclicity criterion holds. |
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