Hyperconnectedness and Resolvability of Soft Ideal Topological Spaces

Ahmad Al-Omari () and Wafa Alqurashi
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Ahmad Al-Omari: Department of Mathematics, Faculty of Sciences, Al-al-Bayt University, P.O. Box 130095, Mafraq 25113, Jordan
Wafa Alqurashi: Department of Mathematic, Faculty of Sciences, Umm Al-Qura University, P.O. Box 11155, Makkah 21955, Saudi Arabia

Mathematics, 2023, vol. 11, issue 22, 1-10

Abstract: This paper introduces and explores the concept of soft ideal dense sets, utilizing soft open sets and soft local functions, to examine their fundamental characteristics under some conditions for the following notions: soft ideal hyperconnectedness, soft ideal resolvability, soft ideal irresolvability, and soft ideal semi-irresolvability in soft ideal topological spaces. Moreover, it explores the relationship between these notions if τ ⊓ I ¯ = ϕ E is obtained in the soft set environment.

Keywords: soft open set; soft dense; soft ideal; soft ideal hyperconnected; soft ideal resolvable; soft ideal irresolvable; soft ideal semi-irresolvable (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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