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arXiv:2406.04433 [math.LO]AbstractReferencesReviewsResources

Flows of linear orders on sparse graphs

Rob Sullivan

Published 2024-06-06Version 1

We consider the topological dynamics of the automorphism group of a particular sparse graph M_1 resulting from an ab initio Hrushovski construction. We show that minimal subflows of the flow of linear orders on M_1 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.

Comments: 17 pages
Categories: math.LO
Subjects: 03C15, 37B05, 20B27, 05C55, 05D10
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