{
  "id": "1205.5981",
  "version": "v1",
  "published": "2012-05-27T15:55:16.000Z",
  "updated": "2012-05-27T15:55:16.000Z",
  "title": "On the canonical base property",
  "authors": [
    "Ehud Hrushovski",
    "Daniel Palacin",
    "Anand Pillay"
  ],
  "comment": "15 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We give an example of a finite rank, in fact aleph-1 categorical theory where the CBP (canonical base property) does not hold. We include a \"group-like\" example. We also prove, in a finite Morley rank context, if all definable Galois groups are \"rigid\" then the theory has the CBP (in a strong sense).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-27T15:55:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45"
    ],
    "keywords": [
      "canonical base property",
      "finite morley rank context",
      "strong sense",
      "finite rank",
      "definable galois groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.5981H"
    }
  }
}