{
  "id": "1005.4924",
  "version": "v1",
  "published": "2010-05-26T19:58:19.000Z",
  "updated": "2010-05-26T19:58:19.000Z",
  "title": "On uniform definability of types over finite sets",
  "authors": [
    "Vincent Guingona"
  ],
  "comment": "17 pages, 0 figures",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper, using definability of types over indiscernible sequences as a template, we study a property of formulas and theories called \"uniform definability of types over finite sets\" (UDTFS). We explore UDTFS and show how it relates to well-known properties in model theory. We recall that stable theories and weakly o-minimal theories have UDTFS and UDTFS implies dependence. We then show that all dp-minimal theories have UDTFS.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-26T19:58:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45"
    ],
    "keywords": [
      "finite sets",
      "uniform definability",
      "udtfs implies dependence",
      "weakly o-minimal theories",
      "dp-minimal theories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4924G"
    }
  }
}