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Pseudo-radius of point sets and packing number. (English) Zbl 0781.52005

The paper contains the sketch of a proof of Young’s classical theorem stating that if a set in \(\mathbb{R}^ n\) is of diameter 1, then it is contained in a ball of radius \(\sqrt{{n\over 2(n+1)}}\).

MSC:

52A35 Helly-type theorems and geometric transversal theory