A colimit decomposition for homotopy algebras in Cat
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Applied Categorical Structures |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1007/s10485-012-9293-4 |
| Field | General mathematics |
| Keywords | Homotopy algebra flexible limit codescent object |
| Attached files | |
| 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. |
| Related projects: |