Separation Axioms Via \(\omega \beta\)-Open Sets in Bitopological Spaces

Abstract

In this paper we generalize the notion of \(\omega \beta\)-open sets in the setting of bitopological spaces and study their fundamental properties. Also we utilize them to define pairwise \(\omega \beta\)-\({T_i}\) spaces for \(i = 0,1,2\) and pairwise \(\omega \beta\)-\({R_j}\) spaces for \(j = 0,1\).