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Tverberg’s theorem, a new proof

Bárány, Imre (2024) Tverberg’s theorem, a new proof. ISRAEL JOURNAL OF MATHEMATICS, accept. ISSN 0021-2172

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Abstract

We give a new proof Tverberg’s famous theorem: For every set X ⊂ Rd with |X| = (r − 1)(d + 1) + 1, there is a partition of X into r sets X1, ... , Xr such that ⋂r p=1 convXp 6 = ∅. The new proof uses linear algebra, specially structured matrices, the theory of linear equations, and Tverberg’s original “moving the points” method.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 05 Apr 2024 10:59
Last Modified: 05 Apr 2024 10:59
URI: https://real.mtak.hu/id/eprint/191868

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