Geodesic
Homotopy theory of spectral sequences
Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 69-86.

Voir la notice de l'article provenant de la source International Press of Boston

Let $R$ be a commutative ring with unit. We consider the homotopy theory of the category of spectral sequences of $R$-modules with the class of weak equivalences given by those morphisms inducing a quasi-isomorphism at a certain fixed page. We show that this admits a structure close to that of a category of fibrant objects in the sense of Brown and in particular the structure of a partial Brown category with fibrant objects. We use this to compare with related structures on the categories of multicomplexes and filtered complexes.
DOI : 10.4310/HHA.2024.v26.n1.a5
Classification : 18G40
Keywords: spectral sequence, model category 
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Muriel Livernet; Sarah Whitehouse. Homotopy theory of spectral sequences. Homology, homotopy, and applications, Tome 26 (2024) no. 1, pp. 69-86. doi : 10.4310/HHA.2024.v26.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2024.v26.n1.a5/

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