{
  "id": "math/0702296",
  "version": "v1",
  "published": "2007-02-11T00:51:02.000Z",
  "updated": "2007-02-11T00:51:02.000Z",
  "title": "Resolvability vs. almost resolvability",
  "authors": [
    "Istvan Juhasz",
    "Saharon Shelah",
    "Lajos Soukup"
  ],
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "A space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains kappa dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets of X). Answering a problem raised by Juhasz, Soukup, and Szentmiklossy, and improving a consistency result of Comfort and Hu, we prove, in ZFC, that for every infinite cardinal {kappa} there is an almost 2^{kappa}-resolvable but not {omega}_1-resolvable space of dispersion character {kappa} .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-11T00:51:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "resolvability",
      "contains kappa dense sets",
      "dispersion character",
      "dense subsets",
      "consistency result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2296J"
    }
  }
}