#blaschke_selection_theorem

Blaschke selection theorem

Any sequence of convex sets contained in a bounded set has a convergent subsequence

The Blaschke selection theorem is a result in topology and convex geometry about sequences of convex sets. Specifically, given a sequence of convex sets contained in a bounded set, the theorem guarantees the existence of a subsequence and a convex set such that converges to in the Hausdorff metric. The theorem is named for Wilhelm Blaschke.

Wed 12th

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