Barany, I;
Soberon, P;
(2018)
Tverberg's theorem is 50 years old: A survey.
Bulletin of the American Mathematical Society
, 55
(4)
pp. 459-492.
10.1090/bull/1634.
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Abstract
This survey presents an overview of the advances around Tverberg's theorem, focusing on the last two decades. We discuss the topological, linear-algebraic, and combinatorial aspects of Tverberg's theorem and its applications. The survey contains several open problems and conjectures.
| Type: | Article |
|---|---|
| Title: | Tverberg's theorem is 50 years old: A survey |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1090/bull/1634 |
| Publisher version: | http://dx.doi.org/10.1090/bull/1634 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Mathematics, HAM SANDWICH THEOREM, WEAK EPSILON-NETS, INTEGER LATTICE, RADONS THEOREM, TOPOLOGICAL GENERALIZATION, COMBINATORIAL GEOMETRY, OPTIMAL BOUNDS, PARTITIONS, CONJECTURE, NUMBER |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10059680 |
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