On the Topology of $\delta_{\omega}$-Open Sets and Related Topics

Abstract

The main purpose of this paper is to study the notion of the δωδω-open sets defined by Al-Jarrah et al via δωδω-closure operator in [4]. We give various properties of the notions of δωδω-closure operator and δωδω-open set. Also, we introduce the notions of δωδω-continuity, ωω-δδ-continuity and weakly δωδω-continuity by means of δωδω-open sets [4]. Furthermore, we obtain several relationships, examples and counter-examples related to new classes of functions.