Model category structures and spectral sequences
Let $R$ be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of $R$-modules, with cofibrantly generated model structures, where the class of weak equivalences is given by those morphisms inducing a quasi-isomorphism at a certain fixed stage of the associa...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/192306 |
| Acceso en línea: | https://hdl.handle.net/2445/192306 |
| Access Level: | acceso abierto |
| Palabra clave: | Àlgebra homològica Teoria de l'homotopia Topologia algebraica Homological algebra Homotopy theory Algebraic topology |
| Sumario: | Let $R$ be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of $R$-modules, with cofibrantly generated model structures, where the class of weak equivalences is given by those morphisms inducing a quasi-isomorphism at a certain fixed stage of the associated spectral sequence. For filtered complexes, we relate the different model structures obtained, when we vary the stage of the spectral sequence, using the functors shift and décalage. |
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