Helge Tverberg
Helge Arnulf Tverberg (born March 6, 1935 in Bergen ) is a Norwegian mathematician who deals with combinatorics .
Tverberg graduated from the University of Bergen in 1958 and received his doctorate there in 1968. He taught at the University of Bergen from 1958 and was professor there from 1971. In 2005 he retired. He was visiting scholar at the University of Reading (1996) and the University of Canberra (1980/81, 1987/88, 2004).
In 1966 he proved that according to the named theorem of Tverberg , according to which sufficiently large point sets in n-dimensional Euclidean space can be decomposed into r subsets in such a way that the convex hulls of the subsets intersect at one point. The sentence became the starting point for a whole series of further investigations in convex geometry and topological combinatorics .
Tverberg is a member of the Norwegian Academy of Sciences .
literature
- Imre Bárány , Pablo Soberón: Tverberg's theorem is 50 years old: A survey. In: Bull. Amer. Math. Soc. (NS) . tape 55 , 2018, p. 459-492 ( MR3854075 ).
- Tverberg A combinatorial mathematician in Norway: some personal reflections , Discrete Mathematics, Volume 241, 2001, pp. 11-22
- Günter Ziegler 3 N colored points in the plane , Notices AMS, April 2011, on the sentence by Tverberg
Web links
- Ziegler on Tverberg's theorem and its history, pdf
- Baranyi et al. a .: Tverberg's Theorem at 50: Extensions and Counterexamples, Notices AMS August 2016
Individual evidence
- ^ Tverberg A generalization of Radons theorem , J. London Math. Society, Volume 41, 1966, pp. 121-128. Johann Radon proved the special case r = 2. Bryan Birch proved another special case before Tverberg .
| personal data | |
|---|---|
| SURNAME | Tverberg, Helge |
| ALTERNATIVE NAMES | Tverberg, Helge Arnulf (full name) |
| BRIEF DESCRIPTION | Norwegian mathematician and university professor |
| DATE OF BIRTH | March 6, 1935 |
| PLACE OF BIRTH | Mountains |