More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures

Details More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures

2012-03-30

arxiv.org/abs/1204.0037v2

Mathematics

Dynamical Systems

14 pages

Scientific paper

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

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