Homogeneous spaces not separated by arcs
General Topology
2023-02-15 v1 Geometric Topology
Abstract
It was shown by van Mill and Valov that regions in strongly locally homogeneous locally compact metric spaces of dimension are not separated by arcs. We improve this result by replacing strong local homogeneity with homogeneity. Moreover, we prove the result for the case when only one end point of an arc is in the interior of the region.
Cite
@article{arxiv.2302.06735,
title = {Homogeneous spaces not separated by arcs},
author = {Alexandre Karassev and Vesko Valov},
journal= {arXiv preprint arXiv:2302.06735},
year = {2023}
}