{
  "id": "2307.06494",
  "version": "v1",
  "published": "2023-07-13T00:03:46.000Z",
  "updated": "2023-07-13T00:03:46.000Z",
  "title": "On the Consistency Strength of MM($ω_1$)",
  "authors": [
    "Natasha Dobrinen",
    "John Krueger",
    "Pedro Marun",
    "Miguel Angel Mota",
    "Jindrich Zapletal"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that the consistency strength of Martin's Maximum restricted to partial orders of cardinality $\\omega_1$ follows from the consistency of ZFC.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-13T00:03:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E50"
    ],
    "keywords": [
      "consistency strength",
      "martins maximum",
      "partial orders"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}