Representability theorems, up to homotopy

Autor:	Blanc, David, Chorny, Boris
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Topology Mathematics - Category Theory 55U35 (Primary) 55P99 18D20 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category \cat V. The first theorem resembles the Freyd representability theorem, the second theorem is closer to the Brown representability theorem. As an application we discuss a recognition principle for mapping spaces. Comment: V2: minor improvements suggested by the referee; 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.03960 Zobrazit plný text záznamu View this record from Arxiv