By Stephen Lack and Jiri Rosicky

We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where... Show more

June 28, 2015

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Homotopy locally presentable enriched categories

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