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

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

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