A partition theorem of Tverberg-type for boxes in R3

被引：0
|
作者：
Eckhoff, J [1 ]
机构：
[1] Univ Dortmund, Fachbereich Math, D-44221 Dortmund, Germany
来源：
DISCRETE MATHEMATICS | 2001年 / 241卷 / 1-3期
关键词：
Tverberg's theorem; axis-parallel boxes;
D O I：
10.1016/S0012-365X(01)00149-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The following analogue of Tverberg's partition theorem in R-3 is proved (among others): Every set of [(18)/(7)m] points in R-3 can be divided into m subsets such that the smallest axis-parallel boxes containing the subsets have a common point. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：267 / 288
页数：22
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