More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures

2012/03/30 by Dana Bartosova, Bartosova, Dana
Mathematics · #03E02 #05D10 #22F50 #37B05 #54H20 #Dynamical Systems (math.DS) #FOS: Mathematics #Logic (math.LO) #math.DS #math.LO #msc:03E02 #msc:05D10 #msc:22F50 #msc:37B05 #msc:54H20

paper · pdf · doi:10.48550/arxiv.1204.0037

14 pages

arxiv created 2012/04/04 · arxiv updated 2012/04/05

Abstract

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

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