Flows of linear orders on sparse graphs

Abstract

We consider the topological dynamics of the automorphism group of a particular sparse graph M1 resulting from an ab initio Hrushovski construction. We show that minimal subflows of the flow of linear orders on M1 have all orbits meagre, partially answering a question of Tsankov regarding results of Evans, Hubicka and Nesetril on the topological dynamics of automorphism groups of sparse graphs.

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