Condensed Sets on Compact Hausdorff Spaces
Category Theory
2022-11-28 v1 General Topology
Abstract
A condensed set is a sheaf on the site of Stone spaces and continuous maps. We prove that condensed sets are equivalent to sheaves on the site of compact Hausdorff spaces and continuous maps. As an application, we show that there exists a model structure on the category of condensed sets.
Cite
@article{arxiv.2211.13855,
title = {Condensed Sets on Compact Hausdorff Spaces},
author = {Koji Yamazaki},
journal= {arXiv preprint arXiv:2211.13855},
year = {2022}
}
Comments
15 pages