On Some Closed Sets and Low Separation Axioms via Topological Ideals

Author:

Boonpok Chawalit

Abstract

This paper deals with the concepts of Λp(⋆)-sets and (Λ, p(⋆))-closed sets which are defined by utilizing the notions of pre-I -open sets and pre-I -closed sets. Moreover, we investigate some properties of (Λ, p(⋆))-extremally disconnected ideal topological spaces. Several characterizations of (Λ, p(⋆))-continuous functions are discussed. Especially, we introduce and characterize some low separation axioms of ideal topologies constructed by the concepts of pre-I -open sets and the pre-I -closure operator.

Publisher

New York Business Global LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science

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