The Separation Properties of Binary Topological Spaces
In the present study, we introduce some new separation axioms for binary topological spaces. This new idea gives the notion of generalized binary (T0, T1, T2, T3, and T4 spaces) and binary generalized semi (T0, T1, T2, T3, and T4 spaces) using generalized binary open sets and binary generalized semi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/4384483 |
| _version_ | 1797849305150652416 |
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| author | Xiaoli Qiang Saber Omidi P. Sathishmohan K. Lavanya K. Rajalakshmi |
| author_facet | Xiaoli Qiang Saber Omidi P. Sathishmohan K. Lavanya K. Rajalakshmi |
| author_sort | Xiaoli Qiang |
| collection | DOAJ |
| description | In the present study, we introduce some new separation axioms for binary topological spaces. This new idea gives the notion of generalized binary (T0, T1, T2, T3, and T4 spaces) and binary generalized semi (T0, T1, T2, T3, and T4 spaces) using generalized binary open sets and binary generalized semi open sets to investigate their properties. We also provide adequate examples to assist and understand abstract concepts. In the similar manner, we begin researching the b-sg-T0, b-sg-T1, b-sg-T2, b-sg-T3, and b-sg-T4 spaces in binary topological spaces. The study on the axioms is done over binary-T0, binary-T1, binary-T2, binary-T3, and binary-T4 spaces, motivated to do the analysis of the spaces gb(b-gs)-T0, gb(b-gs)-T1, gb(b-gs)-T2, gb(b-gs)-T3, and gb(b-gs)-T4 as well. |
| first_indexed | 2024-04-09T18:41:43Z |
| format | Article |
| id | doaj.art-62445c56a7ac4218bea9cc2124e34d5d |
| institution | Directory Open Access Journal |
| issn | 1687-9139 |
| language | English |
| last_indexed | 2024-04-09T18:41:43Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj.art-62445c56a7ac4218bea9cc2124e34d5d2023-04-11T00:00:54ZengHindawi LimitedAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/4384483The Separation Properties of Binary Topological SpacesXiaoli Qiang0Saber Omidi1P. Sathishmohan2K. Lavanya3K. Rajalakshmi4Institute of Computing Science and TechnologyMinistry of Education IranDepartment of MathematicsDepartment of MathematicsDepartment of Science and HumanitiesIn the present study, we introduce some new separation axioms for binary topological spaces. This new idea gives the notion of generalized binary (T0, T1, T2, T3, and T4 spaces) and binary generalized semi (T0, T1, T2, T3, and T4 spaces) using generalized binary open sets and binary generalized semi open sets to investigate their properties. We also provide adequate examples to assist and understand abstract concepts. In the similar manner, we begin researching the b-sg-T0, b-sg-T1, b-sg-T2, b-sg-T3, and b-sg-T4 spaces in binary topological spaces. The study on the axioms is done over binary-T0, binary-T1, binary-T2, binary-T3, and binary-T4 spaces, motivated to do the analysis of the spaces gb(b-gs)-T0, gb(b-gs)-T1, gb(b-gs)-T2, gb(b-gs)-T3, and gb(b-gs)-T4 as well.http://dx.doi.org/10.1155/2023/4384483 |
| spellingShingle | Xiaoli Qiang Saber Omidi P. Sathishmohan K. Lavanya K. Rajalakshmi The Separation Properties of Binary Topological Spaces Advances in Mathematical Physics |
| title | The Separation Properties of Binary Topological Spaces |
| title_full | The Separation Properties of Binary Topological Spaces |
| title_fullStr | The Separation Properties of Binary Topological Spaces |
| title_full_unstemmed | The Separation Properties of Binary Topological Spaces |
| title_short | The Separation Properties of Binary Topological Spaces |
| title_sort | separation properties of binary topological spaces |
| url | http://dx.doi.org/10.1155/2023/4384483 |
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