On some functional generalizations of the regularity of topological spaces

Taras Banakh, Bogdan Bokalo

Анотація


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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DOI: http://dx.doi.org/10.30970/vmm.2018.86.116-124

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