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@article{1350847, author = {Lack, Stephen Geoffrey and Rosický, Jiří}, article_location = {Halifax (Canada)}, article_number = {August}, keywords = {monoidal model category; enriched model category; weighted homotopy colimit}, language = {eng}, issn = {1201-561X}, journal = {Theory and Applications of Categories}, title = {Homotopy locally presentable enriched categories}, url = {https://arxiv.org/pdf/1311.3712.pdf}, volume = {31}, year = {2016} }
TY - JOUR ID - 1350847 AU - Lack, Stephen Geoffrey - Rosický, Jiří PY - 2016 TI - Homotopy locally presentable enriched categories JF - Theory and Applications of Categories VL - 31 IS - August SP - 712-754 EP - 712-754 SN - 1201561X KW - monoidal model category KW - enriched model category KW - weighted homotopy colimit UR - https://arxiv.org/pdf/1311.3712.pdf L2 - https://arxiv.org/pdf/1311.3712.pdf N2 - 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. ER -
LACK, Stephen Geoffrey and Jiří ROSICKÝ. Homotopy locally presentable enriched categories. \textit{Theory and Applications of Categories}. Halifax (Canada), 2016, vol.~31, August, p.~712-754. ISSN~1201-561X.
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