Generalized ωe∗-closed Sets
Keywords:generalized $\omega e^*$-closed set, generalized $\omega e^*$-open set, generalized $\omega e^*$-neighborhood, $g\omega e^*$-continuity, $g\omega e^*$-irresoluteness.
The aim of this paper is to introduce and study a new type of generalized closed sets, called generalized ωe∗ -closed (briefly, gωe∗ -closed) sets, via ωe∗-closure operator. We examine the fundamental properties of the class of these sets. The notion of gωe∗-closed set is weaker than the notions of gωβ-closed set and ωe∗-closed set in the literature. Also, we define and discuss the notions of generalized ωe∗-continuous and generalized ωe∗-irresolute functions.
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