Meekly SC*-Normal Spaces in Topological Spaces
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866917277890248704 |
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| author | Tomar, Neeraj Kumar Rani, Saroj |
| author_facet | Tomar, Neeraj Kumar Rani, Saroj |
| contents | This chapter develops the concept of \textbf{meekly $SC^*$-normality}, a novel generalization of the classical notion of normality in topology. The proposed framework simultaneously broadens $SC^*$-normality and other established forms of normality, offering a unified perspective on generalized separation axioms. Fundamental properties are systematically derived, several equivalent characterizations are obtained, and the relationships between meekly $SC^*$-normal spaces and a range of existing normal-type spaces are rigorously analyzed. By establishing these structural connections, the chapter not only enriches the theory of generalized closed sets and separation axioms but also opens new directions for further research in advanced topological studies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15480 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Meekly SC*-Normal Spaces in Topological Spaces Tomar, Neeraj Kumar Rani, Saroj General Topology 54D15, 54D20, 54A05 This chapter develops the concept of \textbf{meekly $SC^*$-normality}, a novel generalization of the classical notion of normality in topology. The proposed framework simultaneously broadens $SC^*$-normality and other established forms of normality, offering a unified perspective on generalized separation axioms. Fundamental properties are systematically derived, several equivalent characterizations are obtained, and the relationships between meekly $SC^*$-normal spaces and a range of existing normal-type spaces are rigorously analyzed. By establishing these structural connections, the chapter not only enriches the theory of generalized closed sets and separation axioms but also opens new directions for further research in advanced topological studies. |
| title | Meekly SC*-Normal Spaces in Topological Spaces |
| topic | General Topology 54D15, 54D20, 54A05 |
| url | https://arxiv.org/abs/2602.15480 |