Precovers, localizations and stable homotopy

Details Precovers, localizations and stable homotopy Precovers, localizations and stable homotopy

2007-08-21

arxiv.org/abs/0708.2866v2

Mathematics

Category Theory

11 pages. Corrected introduction (R_X not X_R), altered layout figure 1 now not floated in confusing position

Scientific paper

We prove a new localization theorem for stable model categories if 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 for group algebras.

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