A First Countable T1 Topology as related to Statistical Metric Spaces

Year 2023, Volume: 28 Issue: 1, 285 - 289, 30.04.2023

Hülya Duru Serkan İlter Aygül Bilgin

https://doi.org/10.53433/yyufbed.1168520

Abstract

In this paper, we study the conditions under which one can obtain a first countable and 𝑇1 topology without the left-continuity and symmetry, which have an important role in the statistical metric space theory.

Keywords

Quasi-metric, Quasi-uniformity, Statistical metric space

İstatistiksel Metrik Uzaylarla ilgili Birinci Sayılabilir T1 Topolojisi

Abstract

Bu çalışmada, istatiksel metrik uzay teorisinde önemli bir rolü olan soldan süreklilik ve simetri koşulları olmadan, hangi koşullar altında, birinci sayılabilir ve 𝑇1 olan bir topoloji elde edilebildiği incelenmiştir.

Keywords

İstatistiksel metrik uzay, Kuazi-düzgünlük, Kuazi-metrik

References

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