{
  "id": "2304.02143",
  "version": "v1",
  "published": "2023-03-28T09:36:53.000Z",
  "updated": "2023-03-28T09:36:53.000Z",
  "title": "A note on special subsets of the Rudin-Frolík order for regulars",
  "authors": [
    "Joanna Jureczko"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2304.00097. substantial text overlap with arXiv:2304.01398",
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that there is a set of $2^{2^{\\kappa}}$ ultrafilters incomparable in Rudin-Frol\\'ik order of $\\beta \\kappa \\setminus \\kappa$, where $\\kappa$ is regular, for which no subset with more than one element has an infimum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-28T09:36:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special subsets",
      "rudin-frolík order",
      "rudin-frolik order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}