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Title: On RC-spaces
Authors: Bielas, Wojciech
Plewik, Szymon
Keywords: RC-spaces
Issue Date: 2020
Citation: Arabian Journal of Mathematics, Iss. 9 (2020), s. 83-88
Abstract: Following Frink’s characterization of completely regular spaces, we say that a regular T1-space is an RC-space whenever the family of all regular open sets constitutes a regular normal base. Normal spaces are RC-spaces and there exist completely regular spaces which are not RC-spaces. So the question arises, which of the known examples of completely regular and not normal spaces are RC-spaces.We show that the Niemytzki plane and the Sorgenfrey plane are RC-spaces.
DOI: 10.1007/s40065-018-0233-5
ISSN: 2193-5351
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