2014
A colimit decomposition for homotopy algebras in Cat
BOURKE, John DenisBasic 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
Language
English
Type of outcome
Article in a journal
Field of Study
General mathematics
Country of publisher
Netherlands
Confidentiality degree
is not subject to a state or trade secret
RIV identification code
RIV/00216224:14310/14:00073522
Organization
Přírodovědecká fakulta – Repository – Repository
UT WoS
000331045200002
Keywords in English
Homotopy algebra flexible limit codescent object
Links
GBP201/12/G028, research and development project.
Changed: 1/9/2020 19:20, RNDr. Daniel Jakubík
Abstract
V originále
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.
