Total orders on compact metric spaces and covering dimension
Metric Geometry
2022-06-14 v1 Combinatorics
Abstract
We prove that for a compact metric space the property of having finite covering dimension is equivalent to the existence of a total order with finite snake number.
Cite
@article{arxiv.2206.06099,
title = {Total orders on compact metric spaces and covering dimension},
author = {Ivan Mitrofanov},
journal= {arXiv preprint arXiv:2206.06099},
year = {2022}
}
Comments
9 pages