Finite approximations of countable metric and ultrametric compacta
General Topology
2024-12-20 v1 Geometric Topology
Abstract
Adapting a homotopy reconstruction theorem for general metric compacta, we show that every countable metric or ultrametric compact space can be topologically reconstructed as the inverse limit of a sequence of finite spaces which are finer approximations of the space.
Keywords
Cite
@article{arxiv.2412.14325,
title = {Finite approximations of countable metric and ultrametric compacta},
author = {Diego Mondéjar},
journal= {arXiv preprint arXiv:2412.14325},
year = {2024}
}