On (Enriched) Left Bousfield Localization of Model Categories

Details On (Enriched) Left Bousfield Localization of Model Categories On (Enriched) Left Bousfield Localization of Model Categories

2007-08-15

arxiv.org/abs/0708.2067v2

Mathematics

Algebraic Topology

40 pages. Comments sincerely welcomed

Scientific paper

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.

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