On some functional generalizations of the regularity of topological spaces
General Topology
2020-04-09 v1
Abstract
We introduce and study some generalizations of regular spaces, which were motivated by studying continuity properties of functions between (regular) topological spaces. In particular, we prove that a first-countable Hausdorff topological space is regular if and only if it does not contain a topological copy of the Gutik hedgehog.
Cite
@article{arxiv.1902.10185,
title = {On some functional generalizations of the regularity of topological spaces},
author = {Taras Banakh and Bogdan Bokalo},
journal= {arXiv preprint arXiv:1902.10185},
year = {2020}
}
Comments
7 pages