SC*-Regular spaces and some functions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915287955144704 |
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| author | Tomar, Neeraj Kumar Ujlayan, Amit Sharma, M. C. |
| author_facet | Tomar, Neeraj Kumar Ujlayan, Amit Sharma, M. C. |
| contents | This paper introduces a novel class of topological spaces, termed SC*-regular spaces, which are defined using SC*-open sets. We explore their fundamental properties and examine their connections with existing regularity concepts, such as regular, almost, softly, weakly, alpha, zeta, and generalized-regular spaces respectively. Furthermore, we examined and define, analyze generalized SC*-closed sets and SC*-generalized closed functions, establishing key properties and preservation theorems. Several characterizations of SC*-regular spaces are also presented, providing new insights into generalized regularity in topology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SC*-Regular spaces and some functions Tomar, Neeraj Kumar Ujlayan, Amit Sharma, M. C. General Topology 54A05, 54C08, 54C10, 54D15 This paper introduces a novel class of topological spaces, termed SC*-regular spaces, which are defined using SC*-open sets. We explore their fundamental properties and examine their connections with existing regularity concepts, such as regular, almost, softly, weakly, alpha, zeta, and generalized-regular spaces respectively. Furthermore, we examined and define, analyze generalized SC*-closed sets and SC*-generalized closed functions, establishing key properties and preservation theorems. Several characterizations of SC*-regular spaces are also presented, providing new insights into generalized regularity in topology. |
| title | SC*-Regular spaces and some functions |
| topic | General Topology 54A05, 54C08, 54C10, 54D15 |
| url | https://arxiv.org/abs/2505.09951 |