An n-dimensional version of Steinhaus' chessboard theorem

被引：10

作者：

Tkacz, Przemyslaw ^{[1
]}

Turzanski, Marian ^{[1
]}

机构：

[1] Univ Warsaw, Coll Sci Cardinal Stefan Wyszynski, PL-01815 Warsaw, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2008年 / 155卷 / 04期

关键词：

cubes; simplex; coloring function; combinatorial cube; minimal barrier; i-connected chain;

D O I：

10.1016/j.topol.2007.07.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main result of this paper is an n-dimensional version of the Steinhaus' chessboard theorem. Our theorem implies the Poincare theorem as well as its parametric extension. But it is known that the Poincare theorem is equivalent to the Brouwer Fixed-Point theorem. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：354 / 361

页数：8

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Steinhaus H, 1954, KALEJDOSKOP MATEMATY

[9]

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