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arXiv · 2505.06562

SC*-Normal spaces and some functions

Neeraj Kumar Tomar·Fahed Zulfeqarr·M. C. Sharma
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Abstract

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.

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Neeraj Kumar Tomar, Fahed Zulfeqarr, M. C. Sharma. 2025-05-10. SC*-Normal spaces and some functions. https://arxiv.org/abs/2505.06562

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