Between Open Sets and Semi-Open Sets

Author:

Al Ghour Samer,Mansur Kafa

Abstract

<p>We introduce and investigate ω_s-open sets as a new class of sets which are strictly between open sets and semi-open sets. Then we use ω_s-open sets to introduce ω_s-continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results and examples regarding our new concepts. In particular, we obtain some characterizations of ω_s-continuous functions.</p>

Publisher

Editorial Pontificia Universidad Javeriana

Subject

Multidisciplinary

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Categories of Open Sets in Generalized Primal Topological Spaces;Mathematics;2024-01-08

2. Soft ωs-irresoluteness and soft pre-ωs-openness insoft topological spaces;Journal of Intelligent & Fuzzy Systems;2023-07-02

3. Soft ω-Continuity and Soft ω<SUB>s</SUB>-Continuity in Soft Topological Spaces;INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS;2022-06-30

4. Strong Form of Soft Semi-Open Sets in Soft Topological Spaces;INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS;2021-06-30

5. Soft ω*-Paracompactness in Soft Topological Spaces;INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS;2021-03-31

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