On Some Closed Sets and Low Separation Axioms via Topological Ideals

Authors

  • Chawalit Boonpok Mahasarakham University

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4343

Keywords:

pre-$\mathscr{I}$-open set, $\Lambda_{p(\star)}$-set, $(\Lambda,p(\star))$-closed set, $(\Lambda,p(\star))$-extremally disconnected, pre-$\mathscr{I}$-$T_0$, pre-$\mathscr{I}$-$T_1$, pre-$\mathscr{I}$-$R_0$, $(\Lambda,p(\star))$-continuous function

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.

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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How to Cite

On Some Closed Sets and Low Separation Axioms via Topological Ideals. (2022). European Journal of Pure and Applied Mathematics, 15(3), 1023-1046. https://doi.org/10.29020/nybg.ejpam.v15i3.4343