Amenability and Ramsey theory in the metric setting

Published 5 Sep 2013 in math.LO and math.DS | (1309.1430v1)

Abstract: 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 Fra\"iss\'e structures, which encompass all Polish groups. As an application, we prove that amenability is a G_delta condition.

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Authors (1)

Adriane Kaïchouh

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