Caliber and Chain Conditions in Soft Topologies

José Alcantud (), Tareq M. Al-shami and A. A. Azzam
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Tareq M. Al-shami: Department of Mathematics, Sana’a University, Sana’a P.O. Box 1247, Yemen
A. A. Azzam: Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

Mathematics, 2021, vol. 9, issue 19, 1-15

Abstract: In this paper, we contribute to the growing literature on soft topology. Its theoretical underpinning merges point-set or classical topology with the characteristics of soft sets (a model for the representation of uncertain knowledge initiated in 1999). We introduce two types of axioms that generalize suitable concepts of soft separability. They are respectively concerned with calibers and chain conditions. We investigate explicit procedures for the construction of non-trivial soft topological spaces that satisfy these new axioms. Then we explore the role of cardinality in their study, and the relationships among these and other properties. Our results bring to light a fruitful field for future research in soft topology.

Keywords: soft topology; topology; countable chain condition; caliber; separability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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