# On pairwise $$\mathcal{N}$$-$$\beta$$-open sets in bitopological spaces

## Abstract

In this paper, we introduce the notion of an $$(i,j)$$-$$\mathcal{N}$$-$$\beta$$-open set which is a generalization of an $$(i,j)$$-$$\beta$$-open set in a bitopological space. Also, we investigate some of its properties and characterizations. Besides, we prove that a pairwise $$(i, j)$$-$$\mathcal{N}$$-$$\beta$$-open cover that has a finite (countable) subcover is equivalent to a pairwise $$\beta$$-compact ($$\beta$$-Lindel\"{ö}f) space. Finally, we introduce an $$(i, j)$$-$$\mathcal{N}$$-$$\beta$$-continuous function and an $$(i, j)$$-$$\mathcal{N}$$-$$\beta$$-irresolute function and obtain some of their properties.

## Article Details

How to Cite
Alsharari, F., & Qahis, A. (2016). On pairwise $$\mathcal{N}$$-$$\beta$$-open sets in bitopological spaces. Journal of Advanced Studies in Topology, 7(3), 152–160. https://doi.org/10.20454/jast.2016.1099
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