On left and right model categories and left and right Bousfield localizations
Author(s)Barwick, Clark Edward
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Homology Homotopy and Applications
International Press of Boston, Inc.
Barwick, Clark. "On Left and Right Model Categories and Left and Right Bousfield Localizations." Homology, Homotopy and Applications 12(2) (2010): 245-320.
Author's final manuscript