{
  "id": "2106.14468",
  "version": "v1",
  "published": "2021-06-28T08:32:04.000Z",
  "updated": "2021-06-28T08:32:04.000Z",
  "title": "CM-trivial structures without the canonical base property",
  "authors": [
    "Thomas Blossier",
    "Léo Jimenez"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Based on Hrushovski, Palac{\\'i}n and Pillay's example [6], we produce a new structure without the canonical base property, which is interpretable in Baudisch's group. Said structure is, in particular, CM-trivial, and thus at the lowest possible level of the ample hierarchy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-28T08:32:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "canonical base property",
      "cm-trivial structures",
      "baudischs group",
      "pillays example",
      "ample hierarchy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}