{
  "id": "2303.14252",
  "version": "v1",
  "published": "2023-03-24T19:35:17.000Z",
  "updated": "2023-03-24T19:35:17.000Z",
  "title": "Long chains in the Rudin-Frolík order for uncountable cardinals",
  "authors": [
    "Klaas Pieter Hart"
  ],
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We point out that a construction by Butkovi\\v{c}ov\\'a of a chain of length $\\mathfrak{c}^+$ in the Rudin-Frol\\'ik order on $\\beta\\omega$ can easily be adapted to produce, given an uncountable cardinal $\\kappa$, a chain of length $(2^\\kappa)^+$ in the Rudin-Frol\\'ik order on $\\beta\\kappa$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-24T19:35:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "54D80"
    ],
    "keywords": [
      "uncountable cardinal",
      "rudin-frolík order",
      "long chains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}