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@article{1168447,
author = {Bourke, John Denis},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s10485-012-9293-4},
keywords = {Homotopy algebra flexible limit codescent object},
language = {eng},
issn = {0927-2852},
journal = {Applied Categorical Structures},
title = {A colimit decomposition for homotopy algebras in Cat},
volume = {22},
year = {2014}
}
TY - JOUR
ID - 1168447
AU - Bourke, John Denis
PY - 2014
TI - A colimit decomposition for homotopy algebras in Cat
JF - Applied Categorical Structures
VL - 22
IS - 1
SP - 13-28
EP - 13-28
PB - Springer Netherlands
SN - 09272852
KW - Homotopy algebra flexible limit codescent object
N2 - Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In seeking to extend this result to other contexts Rosický observed a key point to be that each homotopy colimit in SSet admits a decomposition into a homotopy sifted colimit of finite coproducts, and asked the author whether a similar decomposition holds in the 2-category of categories Cat. Our purpose in the present paper is to show that this is the case.
ER -
BOURKE, John Denis. A colimit decomposition for homotopy algebras in Cat. \textit{Applied Categorical Structures}. Springer Netherlands, 2014, roč.~22, č.~1, s.~13-28. ISSN~0927-2852. Dostupné z: https://dx.doi.org/10.1007/s10485-012-9293-4.
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