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2010 On left and right model categories and left and right Bousfield localizations
Clark Barwick
Homology Homotopy Appl. 12(2): 245-320 (2010).


We verify the existence of left Bousfield localizations and of enriched left Bousfield localizations, and we prove a collection of useful technical results characterizing certain fibrations of (enriched) left Bousfield localizations. We 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. We then verify the existence of right Bousfield localizations of right model categories, and we apply this to construct a model of the homotopy limit of a left Quillen presheaf as a right model category.


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Clark Barwick. "On left and right model categories and left and right Bousfield localizations." Homology Homotopy Appl. 12 (2) 245 - 320, 2010.


Published: 2010
First available in Project Euclid: 28 January 2011

zbMATH: 1243.18025
MathSciNet: MR2771591

Primary: 18G55

Keywords: Bousfield localization , model category

Rights: Copyright © 2010 International Press of Boston

Vol.12 • No. 2 • 2010
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