{
  "id": "1001.0194",
  "version": "v1",
  "published": "2009-12-31T23:50:36.000Z",
  "updated": "2009-12-31T23:50:36.000Z",
  "title": "A coloring theorem for succesors of singular cardinal",
  "authors": [
    "Todd Eisworth"
  ],
  "comment": "Initial version",
  "categories": [
    "math.LO"
  ],
  "abstract": "We formulate and prove (in {\\sf ZFC}) a strong coloring theorem which holds at successors of singular cardinals, and use it to answer several questions concerning Shelah's principle $Pr_1(\\mu^+,\\mu^+,\\mu^+,\\cf(\\mu))$ for singular $\\mu$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-31T23:50:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E02"
    ],
    "keywords": [
      "singular cardinal",
      "questions concerning shelahs principle",
      "strong coloring theorem",
      "successors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.0194E"
    }
  }
}