• The αδ-Kernel and αδ-Closure via αδ-Open sets in Topological Spaces

Abstract

The notion of αδ-closed set was introduced and studied by R. Devi, V. Kokilavani and P. Basker [2]. In this paper, we introduce the concept of weakly ultra-αδ-separation of two sets in a topological space using αδ-open sets. The αδ-closure and the αδ-kernel are defined in terms of this weakly ultra-αδ-separation. We also investigate some of the properties of the αδ-kernel and the αδ-closure. They also studied the relationships between these sets and several other types of open sets. It is the aim of this paper to offer some weak separation axioms by utilizing αδ-open sets and the αδ-closure operator.