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Jung's Theorem for Alexandrov Spaces of Curvature Bounded Above

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Abstract

The classical Jung theorem gives an optimal upper estimate for the radius of a bounded subset of R n in terms of its diameter and the dimension. In this note we present an analogue of this result for metric spaces of curvature bounded above in the sense of Alexandrov.

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Lang, U., Schroeder, V. Jung's Theorem for Alexandrov Spaces of Curvature Bounded Above. Annals of Global Analysis and Geometry 15, 263–275 (1997). https://doi.org/10.1023/A:1006574402955

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