HELLY-TYPE PROBLEMS

Imre Bárány; Gil Kalai

doi:10.1090/bull/1753

HELLY-TYPE PROBLEMS

Imre Bárány^*
, Gil Kalai

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	471-502
Number of pages	32
Journal	Bulletin of the American Mathematical Society
Volume	59
Issue number	4
DOIs	https://doi.org/10.1090/bull/1753
State	Published - Oct 2022

Bibliographical note

Publisher Copyright:
© 2021 Imre Bárány and Gil Kalai

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title = "HELLY-TYPE PROBLEMS",

abstract = "In this paper we present a variety of problems in the interface between combinatorics and geometry around the theorems of Helly, Radon, Carath{\'e}odory, and Tverberg. Through these problems we describe the fascinating area of Helly-type theorems and explain some of their main themes and goals.",

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AB - 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.

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HELLY-TYPE PROBLEMS

Abstract

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