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arXiv · 1911.09871

The Niemytzki plane is kappa-metrizable

Wojciech Bielas·Andrzej Kucharski·Szymon Plewik
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Abstract

We try to explain the differences between the concepts of stratifiable space and $\varkappa$-metrizable space. In particular, we give a characterization of $\varkappa$-metrizable spaces which is modelled on Chigogidze's characterization. Moreover, we present a $\varkappa$-metric for the Niemytzki plane, using the properties of the Euclidean metric.

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Wojciech Bielas, Andrzej Kucharski, Szymon Plewik. 2019-11-22. The Niemytzki plane is kappa-metrizable. https://arxiv.org/abs/1911.09871

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