{
  "id": "2103.11968",
  "version": "v1",
  "published": "2021-03-22T16:16:15.000Z",
  "updated": "2021-03-22T16:16:15.000Z",
  "title": "A (possibly new) structure without the canonical base property",
  "authors": [
    "Michael Loesch"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this short note, we introduce a generalization of the canonical base property, called preservation of internality on quotients. A structural study of groups definable in theories with this property yields as a consequence infinitely many new uncountably categorical additive covers of the complex numbers without the canonical base property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-22T16:16:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "canonical base property",
      "short note",
      "structural study",
      "property yields",
      "complex numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}