TY - JOUR
AU - Alsharari, Fahad
AU - Qahis, Abdo
PY - 2022/06/01
Y2 - 2024/02/23
TI - On pairwise \(\mathcal{N}\)-\(\beta\)-open sets in bitopological spaces
JF - Journal of Advanced Studies in Topology
JA - J. of Adv. Stud. in Top.
VL - 7
IS - 3
SE - Research Articles
DO -
UR - https://www.m-sciences.com/index.php/jast/article/view/209
SP - 152-160
AB - <p>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\"{Ã¶}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.</p>
ER -