The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms
This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ-kernel operator is weaker than soft kernel operator but stronger than sof...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9073944 |
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| author | Zanyar A. Ameen Tareq M. Al-shami Abdelwaheb Mhemdi Mohammed E. El-Shafei |
| author_facet | Zanyar A. Ameen Tareq M. Al-shami Abdelwaheb Mhemdi Mohammed E. El-Shafei |
| author_sort | Zanyar A. Ameen |
| collection | DOAJ |
| description | This manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ-kernel operator is weaker than soft kernel operator but stronger than soft θ-closure. Both soft θ-closure and soft θ-kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft Ri-topologies and soft Tj-topologies, for i=0,1 and j=0,1,2. |
| format | Article |
| id | doaj-art-1ed17ede7fb84be3a64fe7574da71efb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1ed17ede7fb84be3a64fe7574da71efb2025-02-03T06:12:58ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9073944The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation AxiomsZanyar A. Ameen0Tareq M. Al-shami1Abdelwaheb Mhemdi2Mohammed E. El-Shafei3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis manuscript begins with an introduction to a soft θ-kernel operator. Then, the main properties and connections of this soft topological operator with other known soft topological operators are examined. We show that soft θ-kernel operator is weaker than soft kernel operator but stronger than soft θ-closure. Both soft θ-closure and soft θ-kernel operators are equivalent on soft compact sets. Furthermore, the stated operators are utilized to obtain several new characterizations of soft Ri-topologies and soft Tj-topologies, for i=0,1 and j=0,1,2.http://dx.doi.org/10.1155/2022/9073944 |
| spellingShingle | Zanyar A. Ameen Tareq M. Al-shami Abdelwaheb Mhemdi Mohammed E. El-Shafei The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms Journal of Mathematics |
| title | The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms |
| title_full | The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms |
| title_fullStr | The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms |
| title_full_unstemmed | The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms |
| title_short | The Role of Soft θ-Topological Operators in Characterizing Various Soft Separation Axioms |
| title_sort | role of soft θ topological operators in characterizing various soft separation axioms |
| url | http://dx.doi.org/10.1155/2022/9073944 |
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