Analogues of the central point theorem for families with d-intersection property in Rd

被引：1

作者：

Karasev, Roman N. ^{[1
,2
]}

机构：

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

[2] Yaroslavl State Univ, Lab Discrete & Computat Geometry, Yaroslavl 150000, Russia

来源：

COMBINATORICA | 2012年 / 32卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

TOPOLOGICAL GENERALIZATION; SETS;

D O I：

10.1007/s00493-012-2603-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider families of compact convex sets in a"e (d) such that any subfamily of size at most d has a nonempty intersection. We prove some analogues of the central point theorem and Tverberg's theorem for such families.

引用

页码：689 / 702

页数：14

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