A note on various mapping induced by \(e\)-\(\mathcal{I}\)-open in simple extension ideal topological space

Abstract

In this paper, we intend to introduce new concepts by extending the idea of \(e\)-\(\mathcal{I}\)-open sets in simple extension ideal topological spaces. Here we introduce the new concept of \(\prod^{*+} _{EI}\) and \(\coprod^{*+} _{EI}\) sets via \(e\)-\(\mathcal{I}^+\)-open and \(e\)-\(\mathcal{I}^+\)-closed sets in simple extension ideal topological spaces. Further \(\prod^{*+} _{EI}\) and \(\coprod^{*+} _{EI}\) functions are defined and their results are discussed.