{
  "id": "2401.13446",
  "version": "v1",
  "published": "2024-01-24T13:41:25.000Z",
  "updated": "2024-01-24T13:41:25.000Z",
  "title": "Slender Trees and the Approximation Property",
  "authors": [
    "Hannes Jakob"
  ],
  "comment": "28 pages, 0 figures",
  "categories": [
    "math.LO"
  ],
  "abstract": "We obtain a relatively simple criterion for when a forcing has the ${<}\\,\\delta$-approximation property, generalizing a result of Unger. Afterwards we apply this criterion to construct variants of Mitchell Forcing in order to answer questions posed by Mohammadpour.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-24T13:41:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E35",
      "03E55"
    ],
    "keywords": [
      "approximation property",
      "slender trees",
      "answer questions",
      "construct variants",
      "relatively simple criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}