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 ${\delta }_{\omega }$-open sets defined by Al-Jarrah et al via ${\delta }_{\omega }$-closure operator in [4]. We give various properties of the notions of ${\delta }_{\omega }$-closure operator and ${\delta }_{\omega }$-open set. Also, we introduce the notions of ${\delta }_{\omega }$-continuity, $\omega$-$\delta$-continuity and weakly ${\delta }_{\omega }$-continuity by means of ${\delta }_{\omega }$-open sets [4]. Furthermore, we obtain several relationships, examples and counter-examples related to new classes of functions.

Keywords

• $\delta_w$-open
• $\delta_w$-continuity
• $w$-$\delta$-continuity
• weakly $\delta_w$-continuity

References

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