{
  "id": "1710.05138",
  "version": "v1",
  "published": "2017-10-14T06:13:46.000Z",
  "updated": "2017-10-14T06:13:46.000Z",
  "title": "Homogeneous 3-dimensional permutation structures",
  "authors": [
    "Samuel Braunfeld"
  ],
  "categories": [
    "math.LO",
    "math.CO"
  ],
  "abstract": "We provide a classification of the homogeneous 3-dimensional permutation structures, i.e. homogeneous structures in a language of 3 linear orders, partially answering a question of Cameron. We also arrive at a natural description of all known homogeneous finite-dimensional permutation structures by modifying the language used in the construction from a previous paper, completing the \"census\" begun there.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-14T06:13:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C13",
      "03C50"
    ],
    "keywords": [
      "homogeneous finite-dimensional permutation structures",
      "linear orders",
      "natural description",
      "homogeneous structures",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}