Further Properties of hα-Open Sets in Ideal Topological Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-181
Published: Jun 15, 2026
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Eman Almuhur, Manal Al-Labadi, Raeesa Bashir, Hamza Qoqazeh, Wasim Audeh, Further Properties of hα-Open Sets in Ideal Topological Spaces, Int. J. Anal. Appl., 24 (2026), 181.

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Eman Almuhur, Manal Al-Labadi, Raeesa Bashir, Hamza Qoqazeh, Wasim Audeh

Abstract

Introducing and analyzing a new idea of open sets called open sets in ideal topological spaces and examining some of the relationships between open sets, open sets, open sets, and open sets are the main goals of the work. We examine various features and provide a new, more natural definition of the separation axioms in ideal topological spaces. We demonstrate a condition that is true in ideal topological theory but not in the classical theory of topology, as well as a property that is true in the classical theory but not in the ideal topological theory.

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