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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, vol.~22, No~1, p.~13-28. ISSN~0927-2852. Available from: https://dx.doi.org/10.1007/s10485-012-9293-4.
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