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The purpose of this study is to introduce a new class of regular spaces called \(e^*\theta \) -regular spaces which is a generalization of the class of \(\beta \theta \) -regular spaces [5]. Also, we investigate some basic properties and several characterizations of \(e^*\theta \) -regular and \(e^*\theta \) -normal [3] spaces. Moreover, some functions such as \(e^{*}\theta \) -closed function and generalized \(e^{*}\theta \) -closed function, generalized \(e^{*}\theta \) -closed function have been defined and studied. Furthermore, we obtain some preservation theorems.

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On \(e^*\theta \) -Regular and  \(e^*\theta \) -Normal Spaces

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  • 发表日期：

    2025年

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  • Burcu Sünbül Ayhan

摘要

The purpose of this study is to introduce a new class of regular spaces called \(e^*\theta \) -regular spaces which is a generalization of the class of \(\beta \theta \) -regular spaces [5]. Also, we investigate some basic properties and several characterizations of \(e^*\theta \) -regular and \(e^*\theta \) -normal [3] spaces. Moreover, some functions such as \(e^{*}\theta \) -closed function and generalized \(e^{*}\theta \) -closed function, generalized \(e^{*}\theta \) -closed function have been defined and studied. Furthermore, we obtain some preservation theorems.