On Evrard's homotopy fibrant replacement of a functor

Autor:	Shoykhet, Boris
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	Mathematics::K-Theory and Homology Mathematics::Category Theory Mathematics::Algebraic Topology Mathematics
Zdroj:	Theory and applications of categories
ISSN:	1201-561X
Popis:	We provide a more economical refined version of Evrard's categorical co-cylinder factorization of a functor [Ev1,2]. We show that any functor between small categories can be factored into a homotopy equivalence followed by a (co)fibred functor which satisfies the (dual) assumption of Quillen's Theorem B.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od______2097::b966b83088e35426cca1e299ed9065d9 https://hdl.handle.net/10067/1443650151162165141 Zobrazit plný text záznamu