Two versions of the Jung theorem in metric spaces of curvature bounded above (Q1924938)
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scientific article; zbMATH DE number 938565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two versions of the Jung theorem in metric spaces of curvature bounded above |
scientific article; zbMATH DE number 938565 |
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Two versions of the Jung theorem in metric spaces of curvature bounded above (English)
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27 October 1996
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The classical Jung theorem gives in essence a lower bound for the diameter of a compact set \(X\) in \(E^n\) in terms of the dimension \(n\) and the circumradius \(R\) of \(X\). This result is extended to compact sets in a class of metric spaces introduced by A. D. Alexandrov. This class includes Riemannian manifolds with curvature bounded above.
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metric space
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diameter
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compact set
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