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arXiv · 2505.09951

SC*-Regular spaces and some functions

Neeraj Kumar Tomar·Amit Ujlayan·M. C. Sharma
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Abstract

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.

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Neeraj Kumar Tomar, Amit Ujlayan, M. C. Sharma. 2025-05-15. SC*-Regular spaces and some functions. https://arxiv.org/abs/2505.09951

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