{
  "id": "2301.11805",
  "version": "v1",
  "published": "2023-01-27T15:58:34.000Z",
  "updated": "2023-01-27T15:58:34.000Z",
  "title": "A game for Baire's grand theorem",
  "authors": [
    "Lorenzo Notaro"
  ],
  "comment": "11 pages, to be submitted",
  "categories": [
    "math.LO"
  ],
  "abstract": "Generalizing a result of Kiss, we provide a game that characterizes Baire class 1 functions between arbitrary separable metrizable spaces. We show that the determinacy of our game is equivalent to a generalization of Baire's grand theorem, and that both these statements hold under AD and in Solovay's model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-27T15:58:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "26A21",
      "91A44"
    ],
    "keywords": [
      "baires grand theorem",
      "characterizes baire class",
      "arbitrary separable metrizable spaces",
      "statements hold",
      "solovays model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}