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@article{16553,
   author = {Bourke, John Denis},
   article_number = {1},
   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  - 16553
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  - 0927-2852
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.