Representability theorems, up to homotopy
Algebraic Topology
2019-07-25 v2 Category Theory
Abstract
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.
Cite
@article{arxiv.1903.03960,
title = {Representability theorems, up to homotopy},
author = {David Blanc and Boris Chorny},
journal= {arXiv preprint arXiv:1903.03960},
year = {2019}
}
Comments
V2: minor improvements suggested by the referee; 10 pages