• Between 𝛼-closed sets and g ̃_α -closed sets

Abstract

In this paper we introduce and study a new class of generalized closed sets called y^*𝛼 -closed sets in topological spaces.  We analyze the relations   between y^*𝛼 -closed sets with already existing closed sets. We discuss some basic properties of y^*𝛼 -closed sets The class of y^*𝛼 -closed sets is properly  placed  between the class  of 𝛼-closed sets and the class of (resp. y)-closed  sets. We prove that the class of y^*𝛼- closed sets form a topology.