{
  "id": "1904.09486",
  "version": "v1",
  "published": "2019-04-20T19:19:07.000Z",
  "updated": "2019-04-20T19:19:07.000Z",
  "title": "Dividing lines in unstable theories and subclasses of Baire 1 functions",
  "authors": [
    "Karim Khanaki"
  ],
  "comment": "Comments are welcome! email: k.khanaki@gmail.com",
  "categories": [
    "math.LO"
  ],
  "abstract": "We give a new characterization of SOP (the strict order property) and an optimal version of a theorem of Shelah, namely a theory has OP (the order property) if and only if it has IP (the independence property) or SOP. We point out some parallels between dividing lines in unstable theories and subclasses of Baire 1 functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-20T19:19:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unstable theories",
      "dividing lines",
      "subclasses",
      "strict order property",
      "optimal version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}