Measure-preserving countable dense homogeneity of the Hilbert cube

被引：3

作者：

Pietron, Maciej ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 02期

关键词：

Hilbert cube; Countable dense homogeneity; Measure;

D O I：

10.1016/j.topol.2012.10.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any two countable and dense subsets A, B of the Hilbert cube [0,1](N) there is a homeomorphism of the Hilbert cube that maps A onto B and preserves the product Lebesgue measure. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：257 / 263

页数：7

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[No title captured]

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