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geometry > convex analysis > convex set > Helly's theorem
geometry > discrete geometry > Helly's theorem

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Helly's theorem  

Definition

  • Helly's theorem is a basic result in discrete geometry on the intersection of convex sets. It was discovered by Eduard Helly in 1913, but not published by him until 1923, by which time alternative proofs by Radon (1921) and König (1922) had already appeared. Helly's theorem gave rise to the notion of a Helly family.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Helly%27s_theorem)

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http://data.loterre.fr/ark:/67375/PSR-K2Q6DGTJ-L

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