Homology, Homotopy and Applications
Volume 10 (2008)
Precovers, localizations, and stable homotopy
Pages: 257 – 272
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.
homology; homotopy; localizations; stable categories; exact categories
2010 Mathematics Subject Classification
18E10, 18E30, 18E35, 18G25, 20J05, 55U35