Amenability and Ramsey theory in the metric setting

被引：1

作者：

Kaichouh, Adriane ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

FUNDAMENTA MATHEMATICAE | 2015年 / 231卷 / 01期

关键词：

amenability; Ramsey theory; continuous logic; model theory for metric structures; Kechris-Pestov-Todorcevic correspondence; automorphism groups;

D O I：

10.4064/fm231-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Moore [Fund. Math. 220 (2013)] characterizes the amenability of the automorphism groups of countable ultrahomogeneous structures by a Ramsey-type property. We extend this result to the automorphism groups of metric Fraisse structures, which encompass all Polish groups. As an application, we prove that amenability is a G(delta) condition.

引用

页码：19 / 38

页数：20

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