Novel Results on D-Soft Compact Spaces Article Swipe

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Jamal Oudetallah , Ahmad Almalkawi , Rahmeh Alrababah , Ala Amourah , Abdullah Alsoboh , Khaled Al Mashraf , Tala Sasa ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.29020/nybg.ejpam.v18i3.6513

This paper introduces and investigates D-soft compact spaces, a novel generalization of compactness in soft topological spaces using D-soft covers. We establish fundamental properties, characterizations, and relationships between D-soft compactness and other forms of soft compactness. Key results include the hereditary nature of D-soft compactness under specific conditions, the equivalence between D-soft and soft compactness in soft locally indiscrete spaces, and preservation under continuous mappings. The study provides new perspectives on compactness conditions in soft topology with potential applications in decision-making and uncertainty modeling. Several examples and counterexamples illustrate the theoretical developments, demonstrating that D-soft compactness is generally stronger than soft compactness.

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Type: article
Language: en
Landing Page: https://doi.org/10.29020/nybg.ejpam.v18i3.6513
PDF: https://www.ejpam.com/index.php/ejpam/article/download/6513/2398
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DOI: https://doi.org/10.29020/nybg.ejpam.v18i3.6513

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Title: Novel Results on D-Soft Compact Spaces

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Type: article

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Language: en

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Publication year: 2025

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Publication date: 2025-08-01

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Authors: Jamal Oudetallah, Ahmad Almalkawi, Rahmeh Alrababah, Ala Amourah, Abdullah Alsoboh, Khaled Al Mashraf, Tala Sasa

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Landing page: https://doi.org/10.29020/nybg.ejpam.v18i3.6513

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Concepts: Mathematics, Pure mathematics

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