On e*$\theta$-regular and e*$\theta$-normal Spaces

Burcu Sünbül Ayhan

On e$\theta$-regular and e$\theta$-normal Spaces

General Mathematics 2024-07-12 v1

Authors: Burcu Sünbül Ayhan

Abstract

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. Also, we investigate some basic properties and several characterizations of e* $\theta$ -regular and e* $\theta$ -normal spaces. Moreover, some functions such as e* $\theta$ -closed function, generalized e* $\theta$ -closed function, generalized e* $\theta$ -closed function have been defined and studied. Furthermore, we obtain some preservation theorems.

Keywords

topological spaces regularity theory special functions

Cite

@article{arxiv.2407.07927,
  title  = {On e*$\theta$-regular and e*$\theta$-normal Spaces},
  author = {Burcu Sünbül Ayhan},
  journal= {arXiv preprint arXiv:2407.07927},
  year   = {2024}
}

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