Synthetic approach to the Quillen model structure on topological spaces
Algebraic Topology
2025-12-23 v2 Category Theory
Abstract
We provide an axiomatic treatment of Quillen's construction of the model structure on topological spaces to make it applicable to a wider range of settings, including -generated spaces and pseudotopological spaces. We use this axiomatization to construct a model structure on the category of locales.
Keywords
Cite
@article{arxiv.2310.14235,
title = {Synthetic approach to the Quillen model structure on topological spaces},
author = {Sterling Ebel and Chris Kapulkin},
journal= {arXiv preprint arXiv:2310.14235},
year = {2025}
}
Comments
version accepted for publication