Tverberg's transversal conjecture and analogues of nonembeddability theorems for transversals

被引：12
|
作者：
Karasev, Roman N. [1 ]
机构：
[1] Moscow Inst Phys & Technol3, Dept Math, Dolgoprudnyi 141700, Russia
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2007年 / 38卷 / 03期
关键词：
Vector Bundle; Simplicial Complex; Discrete Comput Geom; Euler Class; Grassmann Variety;
D O I：
10.1007/s00454-007-1355-2
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we prove a special case of the transversal conjecture of Tverberg and Vrecica. We consider the case when the numbers of parts r(i) in this conjecture are powers of the same prime. We also prove some results on common transversals that generalize the classical nonembeddability theorems. We also prove an analogue of the colored Tverberg's theorem by Zivaljevic and Vrecica. Instead of multicolor simplices with a common point it gives multicolor simplices with a common m-transversal.
引用
收藏
页码：513 / 525
页数：13
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