Measure convex and measure extremal sets

被引：2

作者：

Dostal, Petr ^{[1
]}

Lukes, Jaroslav ^{[1
]}

Spurny, Jiri ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2006年 / 49卷 / 04期

关键词：

Face; Measure convex set; Measure extremal set;

D O I：

10.4153/CMB-2006-051-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that convex sets are measure convex and extremal sets are measure extremal provided they are of low Borel complexity. We also present examples showing that the positive results cannot be strengthened.

引用

页码：536 / 548

页数：13

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