On regular but not completely regular spaces (Q1632756)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On regular but not completely regular spaces |
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On regular but not completely regular spaces (English)
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17 December 2018
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The authors develop a technique in order to construct regular but not completely regular spaces. Modifying the approach used by [\textit{K. C. Ciesielski} and \textit{J. Wojciechowski}, Topol. Proc. 47, 313--329 (2016; Zbl 1331.54040)], they give a generalization of Mysior's example, and construct some counterexamples using the Niemytzki plane, the Sorgenfrey plane and some types of \(\Psi\)-spaces.
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Niemytzki plane
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Sorgenfrey plane
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Lusin gap
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