A visit to the Erdos problem

被引：9

作者：

Humke, PD ^{[1
]}

Laczkovich, M

机构：

[1] St Olaf Coll, Dept Math, Northfield, MN 55057 USA

[2] Eotvos Lorand Univ, Dept Anal, H-1088 Budapest, Hungary

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 03期

关键词：

D O I：

10.1090/S0002-9939-98-04167-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Erdos asked if for every infinite set, A, of real numbers there exists a measurable subset of the reals having positive measure that does not contain a subset similar to A. In this note we transform this question to a finite combinatorial problem. Using this translation we extend some results of Eigen and Falconer concerning slow sequences for which the answer to Erdos' question is positive.

引用

页码：819 / 822

页数：4

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