On Pre-δ-Separation Axioms in Ideal Topological Spaces

Abstract

The separation axioms in particular that concerned with ideal topological spaces are discussed widely in the literature because they classify the spaces depending on the validity of each axiom of separating either the points or the subsets. In this work, new type of separation axioms in ideal topological spaces are defined which is more natural than these appear in the literature. This new classis of separation axioms depends on the notion of pre-δ-open. Properties of these sorts are studied and the relationships among these concepts are discussed.