Geodesic
The Niemytzki plane is $\varkappa $-metrizable
Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 457-469
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We prove that the Niemytzki plane is $\varkappa $-metrizable and we try to explain the differences between the concepts of a stratifiable space and a $\varkappa $-metrizable space. Also, we give a characterisation of $\varkappa $-metrizable spaces which is modelled on the version described by Chigogidze.
We prove that the Niemytzki plane is $\varkappa $-metrizable and we try to explain the differences between the concepts of a stratifiable space and a $\varkappa $-metrizable space. Also, we give a characterisation of $\varkappa $-metrizable spaces which is modelled on the version described by Chigogidze.
DOI : 10.21136/MB.2021.0177-19
Classification : 54D15, 54E35, 54G20
Keywords: stratifiable space; $\varkappa $-metrizable space; Niemytzki plane; Sorgenfrey line 
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Bielas, Wojciech; Kucharski, Andrzej; Plewik, Szymon. The Niemytzki plane is $\varkappa $-metrizable. Mathematica Bohemica, Tome 146 (2021) no. 4, pp. 457-469. doi: 10.21136/MB.2021.0177-19

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