The Niemytzki plane is $\varkappa$-metrizable

Abstract

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.

Keywords

• stratifiable space
• $\varkappa$-metrizable space
• niemytzki plane
• sorgenfrey line