2023•Academic Science JournalOpen access

ic-Separation Axioms in Topological Spaces

Beyda S. Abdullah

Abstract

A new class of separation axioms known as ic-separation axioms is introduced in this study. They rely on new extended open sets known as ic-open sets, and we describe the relationship between them and give several examples. Additionally, we define ic-generalized closed set concepts in a topological space in order to frame the another class of separation axioms called ic-generalized axioms. Among other things, the basic concern properties and relative preservation properties of these spaces are projected under ic-generalized irresolute mappings.

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Key concepts: Separation axiom, Axiom, Class (philosophy), Topological space, Mathematics, T1 space, Set (abstract data type), Separation (statistics)