The Niemytzki plane is kappa-metrizable
Wojciech Bielas, Andrzej Kucharski, Szymon Plewik

TL;DR
This paper explores the relationship between stratifiable and κ-metrizable spaces, providing a characterization of the latter and constructing a κ-metric for the Niemytzki plane based on Euclidean properties.
Contribution
It offers a new characterization of κ-metrizable spaces and introduces a κ-metric for the Niemytzki plane, expanding understanding of these topological concepts.
Findings
Characterization of κ-metrizable spaces modeled on Chigogidze's work
Construction of a κ-metric for the Niemytzki plane
Clarification of differences between stratifiable and κ-metrizable spaces
Abstract
We try to explain the differences between the concepts of stratifiable space and -metrizable space. In particular, we give a characterization of -metrizable spaces which is modelled on Chigogidze's characterization. Moreover, we present a -metric for the Niemytzki plane, using the properties of the Euclidean metric.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Banach Space Theory
