On Bárány's theorems of Carathéodory and Helly type

DOI10.4064/sm-141-3-235-250zbMath0981.46014OpenAlexW763539227MaRDI QIDQ2717546

Ehrhard Behrends

Publication date: 17 June 2001

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216782

zbMATH Keywords

Krein-Milman theoremHelly-type theoremCarathéodory theoremBárány's theoremsHelly-Bárány theorem

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Theorems of Carathéodory, Helly, and Tverberg without dimension

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