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Homotopy locally presentable enriched categories
Theory and applications of categories, Tome 31 (2016), pp. 712-754 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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 all objects of V are cofibrant.

Publié le :
Classification : 18G55, 55U35, 18D20, 18C35
Keywords: monoidal model category, enriched model category, weighted homotopy colimit, locally presentable category 
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     author = {Stephen Lack and Jiri Rosicky},
     title = {Homotopy locally presentable enriched categories},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2016_31_a24/}
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Stephen Lack; Jiri Rosicky. Homotopy locally presentable enriched categories. Theory and applications of categories, Tome 31 (2016), pp. 712-754. http://geodesic.mathdoc.fr/item/TAC_2016_31_a24/