A Note on Quasi-Metrizable Spaces

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Bilgin A., Duru H.

Turkish Journal of Mathematics and Computer Science, vol.16, no.1, pp.147-153, 2024 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 16 Issue: 1
• Publication Date: 2024
• Doi Number: 10.47000/tjmcs.1224591
• Journal Name: Turkish Journal of Mathematics and Computer Science
• Page Numbers: pp.147-153
• Istanbul University Affiliated: Yes

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.