{
  "id": "2205.10709",
  "version": "v1",
  "published": "2022-05-22T02:19:54.000Z",
  "updated": "2022-05-22T02:19:54.000Z",
  "title": "On the sequence $\\langle \\text{pcf}^α(A): α\\in \\text{Ord} \\rangle$",
  "authors": [
    "Mohammad Golshani"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "Modulo the existence of large cardinals, there is a model of set theory in which for some set $A$ of regular cardinals, the sequence $\\langle \\text{pcf}^\\alpha(A): \\alpha \\in \\text{Ord} \\rangle$ is strictly increasing. The result answers a problem from [5].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-22T02:19:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "set theory",
      "result answers",
      "regular cardinals",
      "large cardinals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}