Amenability and Ramsey theory in the metric setting

Adriane Kaïchouh
2015 Fundamenta Mathematicae  
In [M2], Moore characterizes the amenability of automorphism groups of countable ultrahomogeneous structures by a Ramsey-type property. We extend this result to automorphism groups of metric Fraïssé structures, which encompass all Polish groups. As an application, we prove that amenability is a G δ condition.
doi:10.4064/fm231-1-2 fatcat:jv7sslxrpzebpahqp7zr6legqe