Stable model categories and cohomological descent
We prove that the subcategory of fibrant objects of a stable simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/491 |
| Acceso en línea: | https://hdl.handle.net/2117/491 |
| Access Level: | acceso abierto |
| Palabra clave: | Model categories (Mathematics) Algebra, Homological Descent categories Homotopia, Teoria de l' Àlgebra homològica Classificació AMS::18 Category theory homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx see also 55Nxx and 55Uxx for algebraic topology}::18G Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx] Classificació AMS::55 Algebraic topology::55P Homotopy theory {For simple homotopy type, see 57Q10} |
| Sumario: | We prove that the subcategory of fibrant objects of a stable simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro. |
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