Bárány’s theorem on the Carathéodory number of convex sets

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Bárány’s theorem on the Carathéodory number of convex sets is a fundamental result in discrete and convex geometry that provides sharp bounds on how many points are needed to represent elements of a convex set as convex combinations.

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Imre Bárány notableWork Bárány’s theorem on the Carathéodory number of convex sets