\(\alpha\)-\(g\)-bicontinuous, \(\alpha\)-\(g\)-bi-irresolute, \(\alpha\)-\(g\)-compact and \(\alpha\)-\(g\)-stable in complemented ditopological texture spaces

Abstract

In this paper, the author introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of \(\alpha\)-\(g\)-open and \(\alpha\)-\(g\)-closed sets and some of their characterizations are obtained.