A CONVERSE TO A THEOREM OF STEINHAUS

被引：0

作者：

Mospan, Yevgeny V. ^{[1
]}

机构：

[1] North Dakota State Univ, Dept Math, 300 Minard Hall, Fargo, ND 58105 USA

来源：

REAL ANALYSIS EXCHANGE | 2005年 / 31卷 / 01期

关键词：

Absolutely continuous and Singular measures; Difference set;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A result of H. Steinhaus states that any Lebesgue measurable set X subset of R with the positive Lebesgue measure has a property that its difference set contains an open interval around zero. In this note we will prove a statement, which, in a sense, complements it.

引用

页码：291 / 294

页数：4

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