Helly-type Problems
Combinatorics
2021-10-28 v2
Abstract
In this paper, we present a variety of problems in the interface between combinatorics and geometry around the theorems of Helly, Radon, Carath\'eodory, and Tverberg. Through these problems we describe the fascinating area of Helly-type theorems, and explain some of its main themes and goals.
Cite
@article{arxiv.2108.08804,
title = {Helly-type Problems},
author = {Imre Bárány and Gil Kalai},
journal= {arXiv preprint arXiv:2108.08804},
year = {2021}
}