Regular Weakly \(\mu\) -Closed Sets, Almost Weakly \(\mu\)-Regular, Almost Weakly \(\mu\)-Normal and Mildly Weakly \(\mu\)-Normal in Topological Spaces

Abstract

In this paper, a new kind of sets called regular weakly \(\mu\)-closed (briefly, \(r w\mu\)-closed) sets are introduced and studied in topological spaces. Some of their properties are investigated. Finally, some characterizations of almost \(w\mu\)-regular, almost \(w \mu\)-normal and mildly \(\mu\)-normal spaces have been given.