A Novel Study on Certain Covering Properties of Quad Topological Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-224
Published: Aug 3, 2026
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Hamza Qoqazeh, Hashem Alazzam, A Novel Study on Certain Covering Properties of Quad Topological Spaces, Int. J. Anal. Appl., 24 (2026), 224.

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Hamza Qoqazeh, Hashem Alazzam

Abstract

In this paper, we defined \(Q\)-topological spaces and \(Q\)-open sets, discussing and proving most of their neighboring properties with illustrative examples. We also studied the covering properties of \(Q\)-topological spaces based on \(Q\)-open sets, such as:\(Q\)-compact spaces, \(Q\)-lindelöf spaces, \(Q\)-countably compact spaces, \(S\)-\(Q\)-compact spaces, \(S\)-\(Q\)-lindelöf spaces, \(S\)-\(Q\)-countably compact spaces. We proved several new theories and facts, demonstrating the main relationship between these spaces and supporting each case with examples.

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