{
  "id": "2002.06639",
  "version": "v1",
  "published": "2020-02-16T18:22:25.000Z",
  "updated": "2020-02-16T18:22:25.000Z",
  "title": "Lofty Models of Peano Arithmetic",
  "authors": [
    "James H. Schmerl"
  ],
  "comment": "6 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "If M is a nonstandard model of Peano Arithmetic, then M is lofty iff M has a simple elementary extension that is recursively saturated. This had previously been known for countable M.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-16T18:22:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C62",
      "03C50"
    ],
    "keywords": [
      "peano arithmetic",
      "lofty models",
      "simple elementary extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}