Precovers, localizations, and stable homotopy
Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 257-272.

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

We prove a new localization theorem for algebraic stable categories when the localizing subcategory is generated by a precovering class in the model category. We use this to show how one may explicitly realize certain Bousfield localization functors that arise naturally in the study of relative homological algebra of groups.
DOI : 10.4310/HHA.2008.v10.n2.a13
Classification : 18E10, 18E30, 18E35, 18G25, 20J05, 55U35
Keywords: homology, homotopy, localizations, stable categories, exact categories
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     pages = {257--272},
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M. Grime. Precovers, localizations, and stable homotopy. Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 257-272. doi : 10.4310/HHA.2008.v10.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a13/

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