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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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