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arXiv · 1309.1430

Amenability and Ramsey theory in the metric setting

Adriane Kaïchouh
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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 Fraïssé structures, which encompass all Polish groups. As an application, we prove that amenability is a G_delta condition.

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Adriane Kaïchouh. 2013-09-05. Amenability and Ramsey theory in the metric setting. https://arxiv.org/abs/1309.1430

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