Theorems of Borsuk-Ulam type for flats and common transversals of families of convex compact sets

被引：4

作者：

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

机构：

[1] Moscow Inst Phys & Technol, Moscow, Russia

来源：

SBORNIK MATHEMATICS | 2009年 / 200卷 / 9-10期

关键词：

Borsuk-Ulam theorem; common transversals; Helly-type theorems;

D O I：

10.1070/SM2009v200n10ABEH004045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several results On the topology of the space of k-flats in R-n similar to the Borsuk-Ulam theorem on coverings of a sphere and a ball are proved. Some corollaries on common transversals for families of subsets of R-n and on measure partitions by hyperplanes are deduced.

引用

页码：1453 / 1471

页数：19

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