A universal space for finite topological spaces
General Topology
2024-12-02 v3 Algebraic Topology
Geometric Topology
Abstract
We find universal spaces for Alexandroff and finite spaces and explore some of its topological properties as well as their description as inverse limits of finite spaces and Alexandroff extensions. They can be used as a natural environment to describe shape properties of compact metric spaces.
Cite
@article{arxiv.2111.04832,
title = {A universal space for finite topological spaces},
author = {Diego Mondéjar},
journal= {arXiv preprint arXiv:2111.04832},
year = {2024}
}