{
  "id": "math/0608638",
  "version": "v1",
  "published": "2006-08-25T16:23:39.000Z",
  "updated": "2006-08-25T16:23:39.000Z",
  "title": "On club-like principles on regular cardinals above $\\beth_ω$",
  "authors": [
    "Mirna Džamonja"
  ],
  "journal": "Acta Universitatis Carolinae Mathematica et Physica, vol. 42 no. 2, (2001), pg. 27-32",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that for regular $\\lambda$ above a strong limit singular $\\mu$ certain guessing principles follow just from cardinal arithmetic assumptions. The main result is that for such $\\lambda$ and $\\mu$ there are coboundedly many regular $\\kappa<\\mu$ such that $\\clubsuit^-(S^\\lambda_\\kappa)$ holds whenever $\\lambda=\\lambda^{<\\kappa}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-25T16:23:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regular cardinals",
      "club-like principles",
      "strong limit singular",
      "cardinal arithmetic assumptions",
      "main result"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8638D"
    }
  }
}