What is it about?
This work is devoted to studying two types soft separation axioms on supra soft topological spaces with respect to ordinary points. These types are formulated using natural belong, natural non-belong and total non-belong relations.
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Why is it important?
The two types of soft separation axioms introduced in this work help us to construct a wider classes of soft topological spaces and keep more properties of supra topologies on supra soft topologies.
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This page is a summary of: Two types of separation axioms on supra soft topological spaces, Demonstratio Mathematica, January 2019, De Gruyter, DOI: 10.1515/dema-2019-0016.
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Partial soft separation axioms and soft compact spaces
This content defines a total non-belong relation and investigated main properties. Then we utilize this relation to introduce new soft separation axioms which lead us, first, to generalize existing comparable properties via general topology, second, to eliminate restrictions on the shape of soft open subsets of soft regular spaces, and third, to obtain a relationship between soft Hausdorff and new soft regular spaces similar to those exists via general topology.
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