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
收藏
页码：291 / 294
页数：4
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