$\gamma^{*}$-semi-open Sets in Topological Spaces-II

TL;DR

This paper extends the study of $\gamma^{*}$-semi-open sets in topological spaces and introduces $\gamma^{*}$-semi-continuous functions, generalizing existing semi-continuity concepts.

Contribution

It advances the theory of $\gamma^{*}$-semi-open sets and introduces a new class of $\gamma^{*}$-semi-continuous functions in topology.

Findings

Characterization of $\gamma^{*}$-semi-open sets

Introduction of $\gamma^{*}$-semi-continuous functions

Generalization of semi-continuity concepts

Abstract

In this paper, we continue studying the properties of $\gamma^{*}$-semi-open sets in topological spaces introduced by S. Hussain, B. Ahmad and T. Noiri[8]. We also introduce and discuss the $\gamma^{*}$-semi-continuous functions which generalize semi-continuous functions defined by N. Levine [10].