BOURKE, John Denis. A colimit decomposition for homotopy algebras in Cat. Applied Categorical Structures. Springer Netherlands, 2014, vol. 22, No 1, p. 13-28. ISSN 0927-2852. doi:10.1007/s10485-012-9293-4.
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Basic information
Original name A colimit decomposition for homotopy algebras in Cat
Authors BOURKE, John Denis (372 Ireland, guarantor, belonging to the institution).
Edition Applied Categorical Structures, Springer Netherlands, 2014, 0927-2852.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.688
RIV identification code RIV/00216224:14310/14:00073522
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1007/s10485-012-9293-4
UT WoS 000331045200002
Keywords in English Homotopy algebra flexible limit codescent object
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 27/4/2015 14:37.
Abstract
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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GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
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