A Note on Quasi-Metrizable Spaces

Authors : Aygül Bilgin, Hülya Duru

Pages : 143-146

Doi:10.47000/tjmcs.1224591

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Publication Date : 2024-06-30

Article Type : Research Paper

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