A Study on Regular Weakly Open and Regular Weakly Closed Sets

Abstract

We study and extend the class of sets known as regular weakly open (RWO) and regular weakly closed (RWC) sets in topological spaces. A subset A of a space (X, τ) is called regular weakly closed set if cl(A)⊆U  whenever A⊆U and U is regular semi open set in (X, τ). The established class of sets is present among the class of all regular weakly closed sets and the class of all closed sets. The properties are RWO and RWC were further investigated and studied.