Abstract
The purpose of this research is to explore the properties of w-open sets and extend the concepts of interior and closure operators through these sets. Furthermore, we define new classes of functions in topological spaces, such as w-continuous, w-irresolute, w-open, and w-closed functions, and analyzing their characteristics and the relationships between them. Keywords: w-open (closed) set, α-continuous function, semi-continuous function, pre-continuous function, κ irresolute functions, for κ∈{α,semi,pre}.