English

On (Enriched) Left Bousfield Localization of Model Categories

Algebraic Topology 2007-11-29 v2 Category Theory

Abstract

I verify the existence of left Bousfield localizations and of enriched left Bousfield localizations, and I prove a collection of useful technical results characterizing certain fibrations of (enriched) left Bousfield localizations. I also use such Bousfield localizations to construct a number of new model categories, including models for the homotopy limit of right Quillen presheaves, for Postnikov towers in model categories, and for presheaves valued in a symmetric monoidal model category satisfying a homotopy-coherent descent condition.

Cite

@article{arxiv.0708.2067,
  title  = {On (Enriched) Left Bousfield Localization of Model Categories},
  author = {Clark Barwick},
  journal= {arXiv preprint arXiv:0708.2067},
  year   = {2007}
}

Comments

40 pages. Comments sincerely welcomed

R2 v1 2026-06-21T09:07:42.966Z