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- W3099691229 abstract "In this paper we give sufficient conditions for a compactum in $mathbb R^n$ to have Carath'{e}odory number less than $n+1$, generalizing an old result of Fenchel. Then we prove the corresponding versions of the colorful Carath'{e}odory theorem and give a Tverberg type theorem for families of convex compacta." @default.
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- W3099691229 date "2012-07-20" @default.
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- W3099691229 title "Notes About the Carathéodory Number" @default.
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- W3099691229 doi "https://doi.org/10.1007/s00454-012-9439-z" @default.
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