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On e*θ-regular and e*θ-normal Spaces

2024/07/09 by Burcu Sünbül Ayhan, Ayhan, Burcu Sünbül
Decision Sciences · Mathematics · #Fuzzy and Soft Set Theory #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.2407.07927

Abstract

The purpose of this study is to introduce a new class of regular spaces called e*θ-regular spaces which is a generalization of the class of βθ-regular spaces. Also, we investigate some basic properties and several characterizations of e*θ-regular and e*θ-normal spaces. Moreover, some functions such as e*θ-closed function, generalized e*θ-closed function, generalized e*θ-closed function have been defined and studied. Furthermore, we obtain some preservation theorems.

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