{
  "id": "math/0510229",
  "version": "v3",
  "published": "2005-10-11T16:46:50.000Z",
  "updated": "2019-01-28T12:45:06.000Z",
  "title": "PCF without choice",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We mainly investigate model of set theory with restricted choice, e.g., ZF + DC + \"the family of countable subsets of lambda is well ordered for every lambda\" (really local version for a given lambda). In this frame much of pcf theory can be generalized. E.g., there is a class of regular cardinals, and we can prove cardinal inequality.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-16T04:01:56.000Z",
      "abstract": "We mainly investigate model of set theory, e.g., ZF + DC + \"the family of countable subsets of lambda is well ordered for every lambda\" (really local version for a given lambda). In this frame much of pcf theory can be generalized. E.g., there is a class of regular cardinals, and we can prove cardinal inequality.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2019-01-28T12:45:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "set theory",
      "regular cardinals",
      "pcf theory",
      "really local version",
      "cardinal inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10229S"
    }
  }
}