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http://hdl.handle.net/20.500.12128/9191| 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. |
| URI: | http://hdl.handle.net/20.500.12128/9191 |
| DOI: | 10.1007/s40065-018-0233-5 |
| ISSN: | 2193-5351 |
| Appears in Collections: | Artykuły (WNŚiT) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Bielas_On_RC-spaces.pdf | 746,59 kB | Adobe PDF | View/Open |
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