Soft Slight Omega-Continuity and Soft Ultra-Separation Axioms

Samer Al Ghour () and Hanan Al-Saadi
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Samer Al Ghour: Department of Mathematics, Jordan University of Science and Technology, Irbid 22110, Jordan
Hanan Al-Saadi: Department of Mathematics, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 24225, Saudi Arabia

Mathematics, 2023, vol. 11, issue 15, 1-17

Abstract: The notions of continuity and separation axioms have significance in topological spaces. As a result, there has been a substantial amount of research on continuity and separation axioms, leading to the creation of several modifications of these axioms. In this paper, the concepts of soft slight ω -continuity, soft ultra-Hausdorff, soft ultra-regular, and soft ultra-normal are initiated and investigated. Their characterizations and main features are determined. Also, the links between them and some other relevant concepts are obtained with the help of examples. Moreover, the equivalency between these notions and other related concepts is given under some necessary conditions. In addition, the inverse image of the introduced types of soft separation axioms under soft slight continuity and soft slight ω -continuity is studied, and their reciprocal relationships with respect to their parametric topological spaces are investigated.

Keywords: soft slight continuity; soft ?-continuity; soft Hausdorff; soft regular; soft normal; generated soft topology (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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