arXiv:2111.04832 Abstract | arXiv Analytics

arXiv:2111.04832 [math.GN]Abstract References Reviews Resources

A universal space for finite topological spaces

Published 2021-11-08, updated 2024-11-27Version 3

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.

Categories: math.GN, math.AT, math.GT

Subjects: 54B20, 54C25, 54A10, 54A05, 54D10, 54D35

Keywords: finite topological spaces, universal space, finite spaces, compact metric spaces, shape properties

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