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Selections and hyperspace topologies via special metrics
Authors:Valentin G Gutev
Institution:

Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bontchev Str., bl. 8, 1113, Sofia, Bulgaria

Abstract:If (Y, d) is a complete metric space with a non-Archimedean metric d, then there exists a selection on the set Image of all nonempty closed subsets of Y which is continuous with respect to both the Vietoris and Hausdorff topologies on Image .
Keywords:Hyperspace topology  Selection  Set-valued mapping
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