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September 10, 2025

Some New Class of Continuous Functions in Topological Spaces

PSPious Missier S SASiluvai A Siluvai A SES. E.A P J Abdul Kalam Technological University

Key Points

This work introduces a new class of continuous functions, expanding existing knowledge in topology.
Key properties of ŜP ∗ - continuous and ŜP ∗ - irresolute functions are systematically investigated.
The study utilizes definitions and concepts from topological spaces to explore these functions.
The findings may contribute to further understanding of function classifications in topology.

Abstract

The purpose of this paper is to introduce and study new class of continuous functionsnamely 𝑆̂𝑃 ∗ - continuous function,𝑆̂𝑃 ∗ - irresolute function. Additionally some properties of these functions are investigated.

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S et al. (Tue,) studied this question.

synapsesocial.com/papers/68c1954e9b7b07f3a0618c85 https://doi.org/https://doi.org/10.35629/4767-13041925