On supra soft topological ordered spaces
| Autor: | Tareq M. Al-shami, M. E. El-Shafei |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Quantitative Biology::Neurons and Cognition
Computer science Astrophysics::High Energy Astrophysical Phenomena General Mathematics finite product spaces supra p-soft ti-ordered space supra soft topological ordered space General Chemistry Extension (predicate logic) Topology General Biochemistry Genetics and Molecular Biology Quantitative Biology::Subcellular Processes General Energy Physics::Plasma Physics lcsh:Q General Materials Science lcsh:Science General Agricultural and Biological Sciences General Environmental Science |
| Zdroj: | Arab Journal of Basic and Applied Sciences, Vol 26, Iss 1, Pp 433-445 (2019) |
| ISSN: | 2576-5299 |
| DOI: | 10.1080/25765299.2019.1664101 |
| Popis: | In this work, we initiate the concept of supra soft topological ordered spaces which are consider as an extension of the concept of soft topological ordered spaces. We define and discuss some notions via supra soft topological ordered spaces such as monotone interior, closure and limit operators. Then, we formulate some supra soft separation axioms, namely supra p-soft Ti-ordered spaces These axioms are studied in terms of the ordinary points and the two relations of natural belong and total non-belong. We provide some illustrative examples to show the relationships between them and to investigate the mutual relations between them and their parametric supra topologies. Additionally, we characterize the concepts of supra p-soft Ti-ordered spaces (i = 1, 2), supra p-soft regularly ordered and supra soft normally ordered spaces. Finally, we conclude some findings related to hereditary and topological properties and finite product spaces. |
| Databáze: | OpenAIRE |
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