A stratified Kan-Quillen equivalence
Algebraic Topology
2021-02-10 v1
Abstract
We exhibit a Quillen equivalence between two model categories encoding the homotopy theory of stratified spaces : the model category of filtered simplicial sets, and that of filtered spaces. Additionally, we introduce a new class of filtered spaces, that of vertical filtered CW-complexes, providing a nice model for the homotopy category of stratified spaces.
Cite
@article{arxiv.2102.04876,
title = {A stratified Kan-Quillen equivalence},
author = {Sylvain Douteau},
journal= {arXiv preprint arXiv:2102.04876},
year = {2021}
}
Comments
33 pages