Amenability and Ramsey theory in the metric setting
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)
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