On $\pi ge$-regular and $\pi ge$-normal Spaces
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The main goal of this paper is to define and study two novel types of regular and normal space called $\pi ge$-regular and $\pi ge$-normal space. The ideas of $\pi ge$-regularity and $\pi ge$-normality are introduced by $\pi ge$-closed sets defined by Özkoç and Ayhan, which are general variations of the separation axioms known from general topology. Moreover, we examine not only the relations of these spaces with other types of spaces but also some of their basic features.
Abstract
The main goal of this paper is to define and study two novel types of regular and normal space called $\pi ge$-regular and $\pi ge$-normal space. The ideas of $\pi ge$-regularity and $\pi ge$-normality are introduced by $\pi ge$-closed sets defined by Özkoç and Ayhan, which are general variations of the separation axioms known from general topology. Moreover, we examine not only the relations of these spaces with other types of spaces but also some of their basic features.