More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures

preprint2012arXivOpen access

Abstract

In this paper, we compute universal minimal flows of groups of automorphisms of uncountable ωω-homogeneous graphs, KnK_n-free graphs, hypergraphs, partially ordered sets, and their extensions with an ωω-homogeneous ordering. We present an easy construction of such structures, expanding the jungle of extremely amenable groups.

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