AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (248.6 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Soft separation axioms via soft topological operators

Tareq M. Al-shami1( ), Zanyar A. Ameen2, A. A. Azzam3,4, Mohammed E. El-Shafei5
Department of Mathematics, Sana'a University, Sana'a, Yemen
Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq
Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, Egypt
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Show Author Information

Abstract

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.

Keywords

soft topologysoft operatorsoft shellsoft kernelsoft derived setsoft T0-spacesoft T1-spacesoft TD-space
CLC number: 54C60, 54A05, 54A99

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 15107-15119
DOI: 10.3934/math.2022828

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Al-shami TM, Ameen ZA, Azzam AA, et al. Soft separation axioms via soft topological operators. AIMS Mathematics, 2022, 7(8): 15107-15119. https://doi.org/10.3934/math.2022828

11

Views

0

Downloads

0

Crossref

33

Web of Science

37

Scopus
Received: 07 April 2022
Revised: 24 May 2022
Accepted: 13 June 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)