Tag Archives: Tverberg’s theorem

Seven Problems Around Tverberg’s Theorem

Posted on December 23, 2008 by

Imre Barany, Rade Zivaljevic, Helge Tverberg, and Sinisa Vrecica  Recall the beautiful theorem of Tverberg: (We devoted two posts (I, II) to its background and proof.) Tverberg Theorem (1965): Let be points in , . Then there is a partition of … Continue reading →

Posted in Combinatorics, Convexity, Open problems | Tagged , , | 12 Comments

Sarkaria’s Proof of Tverberg’s Theorem 2

Posted on November 26, 2008 by

  Karanbir Sarkaria 4. Sarkaria’s proof: Tverberg’s theorem (1965): Let be points in , . Then there is a partition of such that . Proof: We can assume that . First suppose that the points belong to the -dimensional affine space … Continue reading →

Posted in Convexity | Tagged , | 11 Comments

Sarkaria’s Proof of Tverberg’s Theorem 1

Posted on November 24, 2008 by

Helge Tverberg Ladies and gentlemen, this is an excellent time to tell you about the beautiful theorem of Tverberg and the startling proof of Sarkaria to Tverberg’s theorem (two parts). A good place to start is Radon’s theorem. 1. The theorems of Radon, … Continue reading →

Posted in Convexity | Tagged , | 15 Comments