On Weakly e*-θ-open Functions and Their Characterizations

Abstract

The main aim of this paper is to introduce and study a new class of weakly open functions called weakly e*-θ-open functions via e*-θ-open sets [13], which is a stronger concept than weakly e*-open functions [22]. Moreover, we obtain various characterizations of weakly e*-θ-open functions and investigate some of their fundamental properties. In additon, we investigate not only the relationships of these functions with some othertypes of existing topological functions, but also several basic results related to connectedness, e*θ-connectedness [5] and hyperconnectedness [18].

Keywords

• e*-θ-open set
• e*-θ-open function
• e*θ-connectedness
• e*θ-T2 space

Supporting Institution

Türk-Alman Üniversitesi Bilimsel Araştırma Projeleri

Project Number

2021BR01

Thanks

This study was supported by Turkish-German University Scientific Research Projects Commission under the grantno: 2021BR01.

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