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Localisation homotopique et tour de Taylor pour une catégorie abélienne. (French) Zbl 0983.18006

The concepts of localization and colocalization in an abelian category have been introduced by P. Gabriel [Bull. Soc. Math. Fr. 90, 323-448 (1962; Zbl 0201.35602)]. In the paper under review, the author shows how a colocalizing subcategory of an abelian category induces a localization in the derived category. This allows a new construction of the Taylor tower associated to a functor with values in a category of modules.

MSC:

18E35 Localization of categories, calculus of fractions
18G55 Nonabelian homotopical algebra (MSC2010)

Citations:

Zbl 0201.35602
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References:

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