Piercing families of convex sets with the d-intersection property in Rd

被引：9

作者：

Karasev, R. N. ^{[1
]}

机构：

[1] Moscow Phys Tech Inst, Dept Math, Dolgoprudnyi 141700, Russia

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2008年 / 39卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

piercing; Helly's theorem; transversal;

D O I：

10.1007/s00454-007-9040-z

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we consider finite families of convex sets in R(d) such that every d or fewer sets of the family have a common point. For some families of this type, we give upper bounds on the size of a finite set intersecting all sets of the family.

引用

页码：766 / 777

页数：12