SC*-Normal spaces and some functions
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915280400154624 |
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| author | Tomar, Neeraj Kumar Zulfeqarr, Fahed Sharma, M. C. |
| author_facet | Tomar, Neeraj Kumar Zulfeqarr, Fahed Sharma, M. C. |
| contents | In this paper, we introduce and explore a new class of topological spaces termed as SC*-normal spaces, defined via SC*-open sets. The concept of SC*-normality is analyzed in relation to classical notions such as normal spaces and g-normal spaces. We further define and examine generalized forms of SC*-closed functions, including SC*-generalized closed mappings, and investigate their fundamental properties. Several characterizations of SC*-normal spaces are established, and various preservation theorems under different types of functions are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SC*-Normal spaces and some functions Tomar, Neeraj Kumar Zulfeqarr, Fahed Sharma, M. C. General Topology 54A05, 54C08, 54C10, 54D15 In this paper, we introduce and explore a new class of topological spaces termed as SC*-normal spaces, defined via SC*-open sets. The concept of SC*-normality is analyzed in relation to classical notions such as normal spaces and g-normal spaces. We further define and examine generalized forms of SC*-closed functions, including SC*-generalized closed mappings, and investigate their fundamental properties. Several characterizations of SC*-normal spaces are established, and various preservation theorems under different types of functions are also presented. |
| title | SC*-Normal spaces and some functions |
| topic | General Topology 54A05, 54C08, 54C10, 54D15 |
| url | https://arxiv.org/abs/2505.06562 |