{
  "id": "1807.07110",
  "version": "v1",
  "published": "2018-07-18T19:15:48.000Z",
  "updated": "2018-07-18T19:15:48.000Z",
  "title": "The classification of homogeneous finite-dimensional permutation structures",
  "authors": [
    "Samuel Braunfeld",
    "Pierre Simon"
  ],
  "comment": "16 pages",
  "categories": [
    "math.LO",
    "math.CO"
  ],
  "abstract": "We classify the homogeneous finite-dimensional permutation structures, i.e., homogeneous structures in a language of finitely many linear orders, giving a nearly complete answer to a question of Cameron, and confirming the classification conjectured by the first author. The primitive case was proven by the second author using model-theoretic methods, and those methods continue to appear here.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-18T19:15:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C15",
      "03C64",
      "06A05"
    ],
    "keywords": [
      "homogeneous finite-dimensional permutation structures",
      "classification",
      "methods continue",
      "model-theoretic methods",
      "linear orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}