{
  "id": "2406.02727",
  "version": "v1",
  "published": "2024-06-04T19:11:00.000Z",
  "updated": "2024-06-04T19:11:00.000Z",
  "title": "Stationary tower free homogeneously Suslin scales",
  "authors": [
    "Farmer Schlutzenberg",
    "John R. Steel"
  ],
  "comment": "11 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "Let $\\lambda$ be a limit of Woodin cardinals. It was shown by the second author that the pointclass of ${<\\lambda}$-homogeneously Suslin sets has the scale property. We give a new proof of this fact, which avoids the use of stationary tower forcing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-04T19:11:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E55",
      "03E15"
    ],
    "keywords": [
      "stationary tower free homogeneously suslin",
      "tower free homogeneously suslin scales",
      "second author",
      "homogeneously suslin sets",
      "woodin cardinals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}