An elementary proof of Tverberg's theorem
type: Item
instance of: scholarly article
title: An elementary proof of Tverberg's theorem
zbMATH Open document ID: 1190.52004
published in: Journal of Mathematical Sciences (New York)
publication date: 2010-01-19T00:00:00Z
review text: The paper presents a version of \textit{K. S. Sarkaria}'s proof of Tverberg's theorem [Isr. J. Math. 79, No. 2--3, 317--320 (1992; Zbl 0786.52005)]. The proof is very similar to the proof one can find in section 8.3 of the book by \textit{J. Matoušek} [Lectures on discrete geometry (Graduate Texts in Mathematics. 212. New York, NY: Springer) (2002; Zbl 0999.52006)]. The difference is in terminology and in incorporating the colourful Carathéodory's as a part of the argument with a different proof.
reviewed by: Boris Bukh
Mathematics Subject Classification ID: 52A37
zbMATH DE Number: 5660130
author: Mikhail Yu. Zvagel'skii
MaRDI profile type: Publication
full work available at URL: s10958-009-9563-3
OpenAlex ID: W1968456572
cites work: A Generalization of Radon's Theorem
cites work: A generalization of Caratheodory's theorem
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cites work: Tverberg's theorem via number fields
cites work: Tverberg partitions and Borsuk-Ulam theorems.
cites work: On a topological generalization of the Tverberg theorem
DOI: 10.1007/S10958-009-9563-3
description: scientific article; zbMATH DE number 5660130