Homotopy (Pre-)Derivators of Cofibration Categories and Quasi-Categories
Algebraic Topology
2021-03-11 v2 Category Theory
Abstract
We prove that the homotopy prederivator of a cofibration category is equivalent to the homotopy prederivator of its associated quasi-category of frames, as introduced by Szumi\l{}o. We use this comparison result to deduce various abstract properties of the obtained prederivators.
Cite
@article{arxiv.1712.07845,
title = {Homotopy (Pre-)Derivators of Cofibration Categories and Quasi-Categories},
author = {Tobias Lenz},
journal= {arXiv preprint arXiv:1712.07845},
year = {2021}
}
Comments
Final version, incorporating suggestions by referee. Accepted for publication in Algebraic & Geometric Topology