{
  "id": "2406.04433",
  "version": "v1",
  "published": "2024-06-06T18:19:58.000Z",
  "updated": "2024-06-06T18:19:58.000Z",
  "title": "Flows of linear orders on sparse graphs",
  "authors": [
    "Rob Sullivan"
  ],
  "comment": "17 pages",
  "categories": [
    "math.LO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-06T18:19:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C15",
      "37B05",
      "20B27",
      "05C55",
      "05D10"
    ],
    "keywords": [
      "sparse graph",
      "linear orders",
      "automorphism group",
      "ab initio hrushovski construction",
      "topological dynamics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}