{
  "id": "1109.5438",
  "version": "v1",
  "published": "2011-09-26T03:50:30.000Z",
  "updated": "2011-09-26T03:50:30.000Z",
  "title": "Vapnik-Chervonenkis density in some theories without the independence property, I",
  "authors": [
    "M. Aschenbrenner",
    "A. Dolich",
    "D. Haskell",
    "D. Macpherson",
    "S. Starchenko"
  ],
  "comment": "59 p",
  "categories": [
    "math.LO",
    "math.CO"
  ],
  "abstract": "We recast the problem of calculating Vapnik-Chervonenkis (VC) density into one of counting types, and thereby calculate bounds (often optimal) on the VC density for some weakly o-minimal, weakly quasi-o-minimal, and $P$-minimal theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-26T03:50:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "independence property",
      "vapnik-chervonenkis density",
      "vc density",
      "minimal theories",
      "weakly o-minimal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.5438A"
    }
  }
}