Recent Comments

Recent Posts
 High Dimensional Combinatorics at the IIAS – Program Starts this Week; My course on Hellytype theorems; A workshop in Sde Boker
 Stan Wagon, TYI 23: Ladies and Gentlemen: The Answer
 Ladies and Gentlemen, Stan Wagon: TYI 32 – A Cake Problem.
 If Quantum Computers are not Possible Why are Classical Computers Possible?
 Sergiu Hart: TwoVote or not to Vote
 A toast to Alistair: Two Minutes on Two Great Professional Surprises
 TYI 31 – Rados Radoicic’s Rope Problem
 Eran Nevo: gconjecture part 4, Generalizations and Special Cases
 The World of Michael Burt: When Architecture, Mathematics, and Art meet.
Top Posts & Pages
 Stan Wagon, TYI 23: Ladies and Gentlemen: The Answer
 High Dimensional Combinatorics at the IIAS  Program Starts this Week; My course on Hellytype theorems; A workshop in Sde Boker
 Ladies and Gentlemen, Stan Wagon: TYI 32  A Cake Problem.
 TYI 30: Expected number of Dice throws
 If Quantum Computers are not Possible Why are Classical Computers Possible?
 Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 Why Quantum Computers Cannot Work: The Movie!
RSS
Tag Archives: Helly type theorems
Colorful Caratheodory Revisited
Janos Pach wrote me: “I saw that you several times returned to the colored Caratheodory and Helly theorems and related stuff, so I thought that you may be interested in the enclosed paper by Holmsen, Tverberg and me, in … Continue reading
Sarkaria’s Proof of Tverberg’s Theorem 1
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
Helly’s Theorem, “Hypertrees”, and Strange Enumeration II: The Formula
In the first part of this post we discussed an appealing conjecture regaring an extension of Cayley’s counting trees formula. The number of ddimensional “hypertrees” should somehow add up to . But it was not clear to us which complexes we want … Continue reading
Posted in Combinatorics, Convexity
Tagged Cayley theorem, Helly type theorems, Topological combinatorics
6 Comments