Cirici, J., Egas Santander, D., Livernet, M. et al. (1 more author) (2020) Model category structures and spectral sequences. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 150 (6). pp. 2815-2848. ISSN 0308-2105
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Royal Society of Edinburgh. This is an author-produced version of a paper subsequently published in Proc. of the Royal Society of Edinburgh Section A: Mathematics. Article available under the terms of the CC-BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | filtered complex; bicomplex; spectral sequence; model category |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 05 Aug 2019 14:25 |
Last Modified: | 09 Dec 2021 12:09 |
Status: | Published |
Publisher: | Cambridge University Press (CUP) |
Refereed: | Yes |
Identification Number: | 10.1017/prm.2019.45 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:149332 |