Knaster's Problem for (Z2)k-Symmetric Subsets of the Sphere S2k-1

被引：0

作者：

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

机构：

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

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2010年 / 44卷 / 02期

关键词：

Knaster's problem; Equivariant topology; Inscribing polytopes; Measure partition; COUNTEREXAMPLES; TOPOLOGY; CUBES;

D O I：

10.1007/s00454-009-9215-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We prove a Knaster-type result for orbits of the group (Z(2))(k) in S2k-1, calculating the Euler class obstruction. As a consequence, we obtain a result about inscribing skew crosspolytopes in hypersurfaces in R-2k and a result about equipartition of a measures in R-2k by (Z(2))(k+1)-symmetric convex fans.

引用

页码：429 / 438

页数：10

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