Flows of linear orders on sparse graphs
Logic
2026-05-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2406.04433,
title = {Flows of linear orders on sparse graphs},
author = {Rob Sullivan},
journal= {arXiv preprint arXiv:2406.04433},
year = {2026}
}
Comments
final version: accepted to Commentationes Mathematicae Universitatis Carolinae