Amenability and Ramsey theory in the metric setting

作者：Kaichouh Adriane^*

来源：Fundamenta Mathematicae, 2015, 231(1): 19-38.

DOI：10.4064/fm231-1-2

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

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.

• 出版日期2015