Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/192306
Title: | Model category structures and spectral sequences |
Author: | Cirici, Joana Egas Santander, Daniela Livernet, Muriel Whitehouse, Sarah |
Keywords: | Àlgebra homològica Teoria de l'homotopia Topologia algebraica Homological algebra Homotopy theory Algebraic topology |
Issue Date: | 1-Aug-2019 |
Publisher: | Cambridge University Press |
Abstract: | 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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1017/prm.2019.45 |
It is part of: | Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019, vol. 150, num. 6, p. 2815-2848 |
URI: | http://hdl.handle.net/2445/192306 |
Related resource: | https://doi.org/10.1017/prm.2019.45 |
ISSN: | 0308-2105 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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692977.pdf | 353.94 kB | Adobe PDF | View/Open |
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