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A study on CLS-uniform spaces

Jwngsar Moshahary|Dipak Kr. Mitra
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제1호|pp. 107-114|DOI 10.30948/afmi.2022.23.1.107

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키워드

L-topologycovering L-semi-uniform spacesSemi-uniformly continuousL-semi-pseudo-metric

초록

In this paper, we introduce the covering L-semi uniform spaces (briefly CLS-Uniform spaces). Interior operator in the context of CLS-uniform spaces have been introduced and it is extended to be topological interior operator. Semi-uniformly continuous function have also been studied in the context of CLS-uniform spaces. Lastly we have shown that every CLS-uniform spaces is L-semi-pseudo-metrizable if it has countable base.

Abstract

In this paper, we introduce the covering L-semi uniform spaces (briefly CLS-Uniform spaces). Interior operator in the context of CLS-uniform spaces have been introduced and it is extended to be topological interior operator. Semi-uniformly continuous function have also been studied in the context of CLS-uniform spaces. Lastly we have shown that every CLS-uniform spaces is L-semi-pseudo-metrizable if it has countable base.

참고문헌 (20)

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