wα-Separation Axioms in Topological Spaces

Abstract

The aim of this paper is to introduce and study twonew classes of spaces,namely ωα-normal and ωα-regular spacesand obtained their properties by utilizing ωα -closed sets. Recallthat a subset A of a topological space (X, τ ) is called ωα -closedif αcl(A) ⊆ U whenever A ⊆ U and U is ω - open in (X, τ ). Wewill present some characterizations of ωα-normal and ωα-regularspaces