Helly-type问题

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2021-08-19 DOI:10.1090/BULL/1753

Imre B'ar'any, G. Kalai

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引用次数: 15

摘要

本文围绕Helly, Radon, carathimodory和Tverberg定理，提出了组合学和几何之间的各种接口问题。通过这些问题，我们描述了helly型定理的迷人领域，并解释了它们的一些主题和目标。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Helly-type problems

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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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.