On everywhere dense sets in the space \(C(X,Kv(R^ n))\) of continuous set-valued mappings (Q1814344)
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scientific article; zbMATH DE number 10681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On everywhere dense sets in the space \(C(X,Kv(R^ n))\) of continuous set-valued mappings |
scientific article; zbMATH DE number 10681 |
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On everywhere dense sets in the space \(C(X,Kv(R^ n))\) of continuous set-valued mappings (English)
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25 June 1992
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Let \(X\) be a compact metric space, \(B\) the unit ball of the Euclidean space \(R^ n\), and \(Kv(R^ n)\) be the collection of nonvoid compact convex subsets of \(R^ n\) endowed with the Hausdorff metric. Using representation of elements of \(C(X,Kv(R^ n))\) by elements of \(C(X\times B,R^ n)\), the author constructs dense subsets in \(C(X,Kv(R^ n))\) by means of dense subsets of \(C(X\times B,R^ n)\).
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