{
  "id": "1409.1531",
  "version": "v1",
  "published": "2014-09-04T18:53:04.000Z",
  "updated": "2014-09-04T18:53:04.000Z",
  "title": "Independence relations in randomizations",
  "authors": [
    "Uri Andrews",
    "Isaac Goldbring",
    "H. Jerome Keisler"
  ],
  "comment": "45 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "The randomization of a complete first order theory $T$ is the complete continuous theory $T^R$ with two sorts, a sort for random elements of models of $T$, and a sort for events in an underlying probability space. We study various notions of independence in models of $T^R$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-04T18:53:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "independence relations",
      "randomization",
      "complete first order theory",
      "underlying probability space",
      "complete continuous theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1531A"
    }
  }
}