{
  "id": "math/0601087",
  "version": "v3",
  "published": "2006-01-05T05:12:29.000Z",
  "updated": "2006-04-04T20:58:10.000Z",
  "title": "Models of real-valued measurability",
  "authors": [
    "Sakaé Fuchino",
    "Noam Greenberg",
    "Saharon Shelah"
  ],
  "comment": "23 pages. Minor changes; added reference",
  "categories": [
    "math.LO"
  ],
  "abstract": "Solovay's random-real forcing (1971) is the standard way of producing real-valued measurable cardinals. Following questions of Fremlin, by giving a new construction, we show that there are combinatorial, measure-theoretic properties of Solovay's model that do not follow from the existence of real-valued measurability.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-04-04T20:58:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E55",
      "03E35"
    ],
    "keywords": [
      "real-valued measurability",
      "standard way",
      "measure-theoretic properties",
      "solovays model",
      "producing real-valued measurable cardinals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1087F"
    }
  }
}