Soft separation axioms via soft topological operators-Reference-Cited by-同舟云学术

Soft separation axioms via soft topological operators

Published:2022 Issue:8 Volume:7 Page:15107-15119
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Al-shami Tareq M.¹,Ameen Zanyar A.²,Azzam A. A.³⁴,El-Shafei Mohammed E.⁵

Affiliation:

1. Department of Mathematics, Sana'a University, Sana'a, Yemen

2. Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq

3. Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

4. Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, Egypt

5. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt

Abstract

<abstract><p>This paper begins with an introduction to some soft topological operators that will be used to characterize several soft separation axioms followed by their main properties. Then, we define a new soft separation axiom called "soft $ T_D $-space" and analyze its main properties. We also show that this space precisely lies between soft $ T_0 $ and soft $ T_1 $-spaces. Finally, we characterize soft $ T_i $-spaces, for $ i = 0, 1, D $, in terms of the stated operators.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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