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arXiv · 1902.10185

On some functional generalizations of the regularity of topological spaces

Taras Banakh·Bogdan Bokalo
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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.

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Taras Banakh, Bogdan Bokalo. 2019-02-26. On some functional generalizations of the regularity of topological spaces. https://arxiv.org/abs/1902.10185

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