A Note on Quasi-Metrizable Spaces

Year 2024, Volume: 16 Issue: 1, 143 - 146, 30.06.2024

Aygül Bilgin , Hülya Duru

https://doi.org/10.47000/tjmcs.1224591

Abstract

In a previous paper on quasi-uniformizable spaces related to statistical metric spaces it was determined three conditions to obtain a first countable T1-topology. In this paper, we determine two conditions to define a quasi-metrizable topological space. Namely, we determine the conditions to obtain both a quasi-metric and a quasi-uniform topology coincides with a quasi-metrizable topological space.

Keywords

uniform space, quasi-uniform space, distribution function, distance function, statistical metric space

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