{
  "id": "2305.02794",
  "version": "v1",
  "published": "2023-03-28T09:41:21.000Z",
  "updated": "2023-03-28T09:41:21.000Z",
  "title": "Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars",
  "authors": [
    "Joanna Jureczko"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2304.02143, arXiv:2304.00097, arXiv:2304.01398",
  "categories": [
    "math.LO"
  ],
  "abstract": "The aim of this paper is to construct ultrafilters without immediate predecessors in the Rudin-Frolik order in $\\beta \\kappa\\setminus \\kappa$, where $\\kappa$ is a regular cardinal. This generalizes the problem posed by Peter Simon more than 40 years ago.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-28T09:41:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rudin-frolik order",
      "immediate predecessors",
      "construct ultrafilters",
      "regular cardinal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}