On negligible and absolutely nonmeasurable subsets of uncountable solvable groups

被引：0
|
作者：
Kharazishvili, Alexander [1 ]
机构：
[1] I Javakhishvili Tbilisi State Univ, A Razmadze Math Inst, 6 Tamarashvili St, Tbilisi 0177, Georgia
来源：
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2016年 / 170卷 / 01期
关键词：
Solvable group; Invariant measure; Quasi-invariant measure; Negligible set; Absolutely nonmeasurable set;
D O I：
10.1016/j.trmi.2016.01.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that every uncountable solvable group contains two negligible sets whose union is an absolutely nonmeasurable subset of the same group. (C) 2016 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license.
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页码：69 / 74
页数：6
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