A Novel Study on Certain Covering Properties of Quad Topological Spaces

Qoqazeh, Hamza; Alazzam, Hashem

doi:10.28924/2291-8639-24-2026-224

Research Article

A Novel Study on Certain Covering Properties of Quad Topological Spaces

Hamza Qoqazeh*
Hashem Alazzam

* Corresponding author

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.

How to Cite

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

BibTeX

@article{Qoqazeh2026,
  author  = {Qoqazeh, Hamza and Alazzam, Hashem},
  title   = {A Novel Study on Certain Covering Properties of Quad Topological Spaces},
  journal = {Int. J. Anal. Appl.},
  volume  = {24},
  year    = {2026},
  pages   = {224},
  doi     = {10.28924/2291-8639-24-2026-224}
}

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