{
  "id": "1109.5437",
  "version": "v2",
  "published": "2011-09-26T03:50:03.000Z",
  "updated": "2012-04-03T18:10:33.000Z",
  "title": "Vapnik-Chervonenkis density in some theories without the independence property, II",
  "authors": [
    "M. Aschenbrenner",
    "A. Dolich",
    "D. Haskell",
    "D. Macpherson",
    "S. Starchenko"
  ],
  "comment": "53 pp",
  "categories": [
    "math.LO",
    "math.CO"
  ],
  "abstract": "We study the Vapnik-Chervonenkis (VC) density of definable families in certain stable first-order theories. In particular we obtain uniform bounds on VC density of definable families in finite U-rank theories without the finite cover property, and we characterize those abelian groups for which there exist uniform bounds on the VC density of definable families.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-03T18:10:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "vapnik-chervonenkis density",
      "independence property",
      "definable families",
      "uniform bounds",
      "vc density"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 53,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5437A"
    }
  }
}