Publication details

A colimit decomposition for homotopy algebras in Cat

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BOURKE John Denis

Year of publication 2014
Type Article in Periodical
Magazine / Source Applied Categorical Structures
MU Faculty or unit

Faculty of Science

Field General mathematics
Keywords Homotopy algebra flexible limit codescent object
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Description 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.
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