Strong Forms of Weakly e-continuous Functions

Fuente: arXiv
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Autor principal: Ayhan, B. S.
Formato: Preprint
Publicado: 2024
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author Ayhan, B. S.
author_facet Ayhan, B. S.
contents The main purpose of this study is to introduce and study two new classes of continuity called eR-continuous functions and weakly eR-continuous functions via e-regular sets. Both of the forms of continuous functions we have described are stronger than the weakly e-continuity. Furthermore, we obtain various characterizations of weakly eR-continuous functions. In addition, we examine not only the relations of these functions with some other forms of existing continuous functions, but also some of their fundamental properties.
format Preprint
id arxiv_https___arxiv_org_abs_2405_09294
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strong Forms of Weakly e-continuous Functions
Ayhan, B. S.
General Topology
54C08, 54D05, 54D10, 54D30
The main purpose of this study is to introduce and study two new classes of continuity called eR-continuous functions and weakly eR-continuous functions via e-regular sets. Both of the forms of continuous functions we have described are stronger than the weakly e-continuity. Furthermore, we obtain various characterizations of weakly eR-continuous functions. In addition, we examine not only the relations of these functions with some other forms of existing continuous functions, but also some of their fundamental properties.
title Strong Forms of Weakly e-continuous Functions
topic General Topology
54C08, 54D05, 54D10, 54D30
url https://arxiv.org/abs/2405.09294