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research article
Model category structures and spectral sequences
December 1, 2020
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 decalage.
Type
research article
Web of Science ID
WOS:000595576100004
Authors
Publication date
2020-12-01
Publisher
Volume
150
Issue
6
Start page
2815
End page
2848
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
January 7, 2021
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