English

Precovers, localizations and stable homotopy

Category Theory 2007-10-30 v2 Representation Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0708.2866,
  title  = {Precovers, localizations and stable homotopy},
  author = {Matthew Grime},
  journal= {arXiv preprint arXiv:0708.2866},
  year   = {2007}
}

Comments

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

R2 v1 2026-06-21T09:09:22.614Z