Some Separation Axioms in Topological Spaces
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| author | Tomar, Neeraj Kumar Sharma, M. C. Ujlayan, Amit Zulfeqarr, Fahed |
| author_facet | Tomar, Neeraj Kumar Sharma, M. C. Ujlayan, Amit Zulfeqarr, Fahed |
| contents | In this paper, we introduced the concepts of new separation axioms called $ SC^* $-separation axioms and $ H^* $-separation axioms by using $ SC^* $ and $ H^* $-open sets in topological spaces. The $ SC^* $-separation axioms include $ SC^* $-$ C_0 $, $ SC^* $-$ C_1 $, weakly $ SC^* $-$ C_0 $, and weakly $ SC^* $-$ C_1 $ spaces, while the $ H^* $-separation axioms include $ H^* $-$ T_{\frac{1}{2}} $, $ H^* $-$ T_b $, and $ H^* $-$ T_d $ spaces. Also, we obtained several properties of such spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06843 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some Separation Axioms in Topological Spaces Tomar, Neeraj Kumar Sharma, M. C. Ujlayan, Amit Zulfeqarr, Fahed General Topology 54A05, 54C08, 54C10, 54D15 In this paper, we introduced the concepts of new separation axioms called $ SC^* $-separation axioms and $ H^* $-separation axioms by using $ SC^* $ and $ H^* $-open sets in topological spaces. The $ SC^* $-separation axioms include $ SC^* $-$ C_0 $, $ SC^* $-$ C_1 $, weakly $ SC^* $-$ C_0 $, and weakly $ SC^* $-$ C_1 $ spaces, while the $ H^* $-separation axioms include $ H^* $-$ T_{\frac{1}{2}} $, $ H^* $-$ T_b $, and $ H^* $-$ T_d $ spaces. Also, we obtained several properties of such spaces. |
| title | Some Separation Axioms in Topological Spaces |
| topic | General Topology 54A05, 54C08, 54C10, 54D15 |
| url | https://arxiv.org/abs/2507.06843 |