Blaschke selection theorem

id: blaschke-selection-theorem-259-13004170
title: Blaschke selection theorem
text: The Blaschke selection theorem is a result in topology and convex geometry about sequences of convex sets. Specifically, given a sequence { K n } of convex sets contained in a bounded set, the theorem guarantees the existence of a subsequence { K n m } and a convex set K such that K n m converges to K in the Hausdorff metric. The theorem is named for Wilhelm Blaschke.
brand slug: wiki
category slug: encyclopedia
description: Any sequence of convex sets contained in a bounded set has a convergent subsequence
original url: https://en.wikipedia.org/wiki/Blaschke_selection_theorem
date created:
date modified: 2022-10-12T17:04:56Z
main entity: {"identifier":"Q784049","url":"https://www.wikidata.org/entity/Q784049"}
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fields total: 13
integrity: 14

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