{
  "id": "1007.2693",
  "version": "v1",
  "published": "2010-07-16T04:06:34.000Z",
  "updated": "2010-07-16T04:06:34.000Z",
  "title": "Large weight does not yield an irreducible base",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Answering a question of Juhasz, Soukup and Szentmikl\\'ossy we show that it is consistent that some first countable space of uncountable weight does not contain an uncountable subspace which has an irreducible base.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-16T04:06:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irreducible base",
      "large weight",
      "first countable space",
      "consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.2693S"
    }
  }
}