{
  "id": "1902.05229",
  "version": "v1",
  "published": "2019-02-14T05:59:38.000Z",
  "updated": "2019-02-14T05:59:38.000Z",
  "title": "Remarks on the strict order property",
  "authors": [
    "Karim Khanaki"
  ],
  "comment": "Comments are welcome! email: k.khanaki@gmail.com",
  "categories": [
    "math.LO",
    "math.FA"
  ],
  "abstract": "A well-known theorem of Shelah asserts that a theory has $OP$ (the order property) if and only if it has $IP$ (the independence property) or $SOP$ (the strict order property). We give a mild strengthening of Shelah's theorem for classical logic and a generalization of his theorem for continuous logic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-14T05:59:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strict order property",
      "well-known theorem",
      "shelah asserts",
      "shelahs theorem",
      "independence property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}