Vaught's conjecture and the Glimm-Effros property for Polish transformation groups

被引：5

作者：

Hjorth, G

Solecki, S

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

[2] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 351卷 / 07期

关键词：

Polish group; orbit equivalence relation;

D O I：

10.1090/S0002-9947-99-02141-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the original Glimm-Effros theorem for locally compact groups to a class of Polish groups including the nilpotent ones and those with an invariant metric. For this class we thereby obtain the topological Vaught conjecture.

引用

页码：2623 / 2641

页数：19

共 4 条

[1] Vaught's conjecture for some meager groups
Newelski, L
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1999, 112 (1) : 271 - 299
[2] Vaught’s conjecture for some meager groups
Ludomir Newelski
[J]. Israel Journal of Mathematics, 1999, 112 : 271 - 299
[3] Admissibility Conjecture and Kazhdan's Property (T) for quantum groups
Das, Biswarup
Daws, Matthew
Salmi, Pekka
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2019, 276 (11) : 3484 - 3510
[4] Wiener's Conjecture About Transformation Groups Helps Predict Which Fuzzy Techniques Work Better
Zapata, Francisco
Kosheleva, Olga
Kreinovich, Vladik
[J]. 2014 IEEE CONFERENCE ON NORBERT WIENER IN THE 21ST CENTURY (21CW), 2014,

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