English

Strong Forms of Weakly e-continuous Functions

General Topology 2024-05-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2405.09294,
  title  = {Strong Forms of Weakly e-continuous Functions},
  author = {B. S. Ayhan},
  journal= {arXiv preprint arXiv:2405.09294},
  year   = {2024}
}
R2 v1 2026-06-28T16:28:06.719Z