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arXiv:0708.2067 [math.AT]AbstractReferencesReviewsResources

On (Enriched) Left Bousfield Localization of Model Categories

Clark Barwick

Published 2007-08-15, updated 2007-11-29Version 2

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.

Comments: 40 pages. Comments sincerely welcomed
Categories: math.AT, math.CT
Subjects: 18G55
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