Quasi-invariant measures on topological groups and ω-powers

被引：0

作者：

Kharazishvili, Alexander ^{[1
,2
]}

机构：

[1] Javakhishvili Tbilisi State Univ, A Razmadze Math Inst 1, 2 Merab Aleksidze 2lane,0193, Tbilisi 0186, Georgia

[2] Javakhishvili Tbilisi State Univ, I Vekua Inst Appl Math 1, 2 Univ Str, Tbilisi 0186, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2024年 / 31卷 / 01期

关键词：

Topological group; quasi-invariant measure; thick subset; GCH; STEINHAUS PROPERTY; HAAR MEASURE; EXTENSIONS; DENSITY;

D O I：

10.1515/gmj-2023-2073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under GCH, there are described the cardinalities of all Hausdorff topological groups G such that there is a nonzero Borel measure on G having the card ( G )-Suslin property and quasi-invariant with respect to an everywhere dense subgroup of G. Some connections are pointed out with the method of Kodaira and Kakutani (1950) for constructing a nonseparable translation invariant extension of the standard Lebesgue (Haar) measure on the circle group S-1.

引用

页码：69 / 78

页数：10

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