{
  "id": "0912.5366",
  "version": "v1",
  "published": "2009-12-29T20:35:52.000Z",
  "updated": "2009-12-29T20:35:52.000Z",
  "title": "Getting more colors",
  "authors": [
    "Todd Eisworth"
  ],
  "comment": "Initial version",
  "categories": [
    "math.LO"
  ],
  "abstract": "We establish a coloring theorem for successors of a singular cardinals, and use it prove that for any such cardinal $\\mu$, we have $\\mu^+\\nrightarrow[\\mu^+]^2_{\\mu^+}$ if and only if $\\mu^+\\nrightarrow[\\mu^+]^2_{\\theta}$ for arbitrarily large $\\theta<\\mu$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-29T20:35:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E02"
    ],
    "keywords": [
      "singular cardinals",
      "coloring theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.5366E"
    }
  }
}