{
  "id": "1402.5212",
  "version": "v2",
  "published": "2014-02-21T06:20:49.000Z",
  "updated": "2014-10-01T14:35:46.000Z",
  "title": "A note on pseudofinite dimension and forking",
  "authors": [
    "Dar'\\io Garc'\\ia"
  ],
  "comment": "12 pages, some typos corrected. A crucial mistake in Proposition 3.4 is corrected. Some examples are added in Section 3",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we show that an instance of dividing in pseudofinite structures can be witnessed by a drop of the pseudofinite dimension. As an application of this result we give new proofs of known results for asymptotic classes of finite structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-21T06:20:49.000Z",
      "title": "A note on pseudofinite dimensions and forking",
      "abstract": "In this paper we show that an instance of forking in pseudofinite structures can be witnessed by a drop of the pseudofinite dimension. As an application of this result we give new proofs of known results for asymptotic classes of finite structures.",
      "comment": "10 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-01T14:35:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pseudofinite dimension",
      "asymptotic classes",
      "pseudofinite structures",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.5212G"
    }
  }
}