Amenability and Ramsey theory in the metric setting

Adriane Kaïchouh (1)

1 ICJ - Institut Camille Jordan

Moore characterized 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_delta condition.

Domains: Logic [math.LO]; Dynamical Systems [math.DS]

Adriane Kaïchouh. Amenability and Ramsey theory in the metric setting. 2013. ⟨hal-00858532⟩