The Niemytzki plane is kappa-metrizable

2019/11/22 by Wojciech Bielas, Andrzej Kucharski, Bielas, Wojciech +3
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #math.GN

paper · pdf · doi:10.48550/arxiv.1911.09871

arxiv created 2019/11/22 · openalex publication_date 2019/11/22 · arxiv updated 2019/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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