H*-Normal Spaces and Some Related Functions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908441518276608 |
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| author | Tomar, Neeraj Kumar Sharma, M. C. Ujlayan, Amit |
| author_facet | Tomar, Neeraj Kumar Sharma, M. C. Ujlayan, Amit |
| contents | This paper introduces and explores functions defined on \( H^* \)-normal spaces through the framework of \( H^* \)-open sets. We extend the concept of \( H^* \)-normality and investigate its connections with \( g \)-normal and classical normal spaces. Additionally, we generalize \( H^* \)-closed and \( H^* \)-generalized closed functions, analyzing their fundamental properties. Several characterizations of \( H^* \)-normal spaces are established, along with preservation theorems that highlight the structural significance of these functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | H*-Normal Spaces and Some Related Functions Tomar, Neeraj Kumar Sharma, M. C. Ujlayan, Amit General Topology 54A05, 54C08, 54C10, 54D15 This paper introduces and explores functions defined on \( H^* \)-normal spaces through the framework of \( H^* \)-open sets. We extend the concept of \( H^* \)-normality and investigate its connections with \( g \)-normal and classical normal spaces. Additionally, we generalize \( H^* \)-closed and \( H^* \)-generalized closed functions, analyzing their fundamental properties. Several characterizations of \( H^* \)-normal spaces are established, along with preservation theorems that highlight the structural significance of these functions. |
| title | H*-Normal Spaces and Some Related Functions |
| topic | General Topology 54A05, 54C08, 54C10, 54D15 |
| url | https://arxiv.org/abs/2506.16075 |