A colimit decomposition for homotopy algebras in Cat
| Autoři | |
|---|---|
| Rok publikování | 2014 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Applied Categorical Structures |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1007/s10485-012-9293-4 |
| Obor | Obecná matematika |
| Klíčová slova | Homotopy algebra flexible limit codescent object |
| Přiložené soubory | |
| Popis | 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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