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On left and right model categories and left and right Bousfield localizations

On left and right model categories and left and right Bousfield localizations

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 …