Strong $\beta$-$\mathcal{I}$-Submaximality and $\beta$-$\mathcal{I}$-Paracompactness in Ideal Topological Spaces

Authors

  • Chawalit Boonpok Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand
  • Palin Raktaow Graduate student in Applied Mathematics and Innovation of Mathematics Teaching, Faculty of Science and Technology, Prince of Songkla University, Pattani Campus, Pattani, 94000, Thailand
  • Areeyuth Sama-ae Department of Mathematics and Computer Science, Faculty of Science and Technology, Prince of Songkla University, Pattani Campus, Pattani, 94000, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6297

Keywords:

ideal topological space, strong $\beta$-$\mathcal{I}$-open, strong $\beta$-$\mathcal{I}$-submaximal, strong ${\beta}\text{-}{\mathcal{I}}$-paracompactness

Abstract

This work introduces and examines the concepts of strong $\beta$-${\mathcal{I}}$-submaximality and strong $\beta$-${\mathcal{I}}$-paracompactness in ideal topological spaces, presenting them as natural extensions of the classical notions of submaximality and paracompactness. The study emphasizes the analysis of submaximal spaces through the lens of strong $\beta$-${\mathcal{I}}$-open sets. Additionally, it offers several characterizations of strong $\beta$-${\mathcal{I}}$-paracompact spaces and investigates the preservation of this property under mappings.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Chawalit Boonpok, Palin Raktaow, Areeyuth Sama-ae

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How to Cite

Strong $\beta$-$\mathcal{I}$-Submaximality and $\beta$-$\mathcal{I}$-Paracompactness in Ideal Topological Spaces. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6297. https://doi.org/10.29020/nybg.ejpam.v18i3.6297