On Some Functions Related to e*-θ-open Sets

Year 2024, , 72 - 82, 31.07.2024

Burcu Sünbül Ayhan

https://doi.org/10.54974/fcmathsci.1353956

Abstract

In this study, we defined the concept of quasi $e^*$-$\theta$-closed sets by means of $e^*$-$\theta$-open sets. Depending on this concept, we introduced approximately $e^{\ast}\theta$-open functions and investigated some of its basic properties. Also, we defined and studied contra pre $e^{\ast}\theta$-open functions, which are stronger than the approximately $e^{\ast}\theta$-open functions. Moreover, we characterized the class of $e^*\theta$-$T_\frac {1}{2}$ spaces.

Keywords

$e^*\theta$-open functions, quasi $e^*$-$\theta$-closed sets, approximately $e^*\theta$-open functions, contra pre $e^{\ast}\theta$-open functions, $e^* \theta$-$T_{\frac{1}{2}}$ spaces

Supporting Institution

Turkish-German University

Project Number

2021BR01

Thanks

This study was supported by Turkish-German University Scientifc Research Projects Commission under the grant no: 2021BR01. The author is very grateful to the Referees for the constructive comments and recommendations.

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