Barany, Imre;
Kalai, Gil;
(2021)
Helly-type problems.
Bulletin of The American Mathematical Society
10.1090/bull/1753.
(In press).
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Abstract
In this paper we present a variety of problems in the interface between combinatorics and geometry around the theorems of Helly, Radon, Carathéodory, and Tverberg. Through these problems we describe the fascinating area of Helly-type theorems and explain some of their main themes and goals.
| Type: | Article |
|---|---|
| Title: | Helly-type problems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1090/bull/1753 |
| Publisher version: | https://doi.org/10.1090/bull/1753 |
| 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, CONVEX-SETS, INTERSECTION-PROPERTIES, F-VECTORS, THEOREM, NUMBER, CONJECTURE, DIMENSION, PATTERNS, FAMILIES, UNIONS |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10150082 |
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