English

The Niemytzki plane is kappa-metrizable

General Topology 2019-11-25 v1

Abstract

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

Keywords

Cite

@article{arxiv.1911.09871,
  title  = {The Niemytzki plane is kappa-metrizable},
  author = {Wojciech Bielas and Andrzej Kucharski and Szymon Plewik},
  journal= {arXiv preprint arXiv:1911.09871},
  year   = {2019}
}
R2 v1 2026-06-23T12:24:10.865Z