{
  "id": "2209.01395",
  "version": "v1",
  "published": "2022-09-03T10:51:59.000Z",
  "updated": "2022-09-03T10:51:59.000Z",
  "title": "The proper forcing axiom for $\\aleph_1$-sized posets and the size of the continuum",
  "authors": [
    "David Asperó",
    "Mohammad Golshani"
  ],
  "comment": "Comments and suggestions are welcome",
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that the Proper Forcing Axiom for forcing notions of size $\\aleph_1$ is consistent with the continuum being arbitrarily large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-03T10:51:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "proper forcing axiom",
      "sized posets",
      "forcing notions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}