On Vietoris Soft Topology I

Authors

  • Q. R. Shakir

DOI:

https://doi.org/10.3329/jsr.v8i1.23440

Keywords:

Soft set, Soft open set, Soft hyperspace, Vietoris soft topology.

Abstract

 

In this article, we define the hyperspace of soft closed sets of a soft topological space (FA, ?). In addition, we define the Vietoris soft topology, ?v, by determining the soft base of this topology which has the form ?FH1, FH2,.....FHn?, where ?FH1, FH2,.....FHn? are soft open sets in (FA, ?). Some properties of this topology are also investigated. The impact of introducing the Vietoris soft topology is to enable us to understand many properties of the structure of soft topologies corresponding to it.

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Published

2016-01-01

How to Cite

Shakir, Q. R. (2016). On Vietoris Soft Topology I. Journal of Scientific Research, 8(1), 13–19. https://doi.org/10.3329/jsr.v8i1.23440

Issue

Vol. 8 No. 1 (2016)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

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