http://hdl.handle.net/20.500.12128/9191
Tytuł: | On RC-spaces |
Autor: | Bielas, Wojciech Plewik, Szymon |
Słowa kluczowe: | RC-spaces |
Data wydania: | 2020 |
Źródło: | Arabian Journal of Mathematics, Iss. 9 (2020), s. 83-88 |
Abstrakt: | 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. |
URI: | http://hdl.handle.net/20.500.12128/9191 |
DOI: | 10.1007/s40065-018-0233-5 |
ISSN: | 2193-5351 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Bielas_On_RC-spaces.pdf | 746,59 kB | Adobe PDF | Przejrzyj / Otwórz |
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