{
  "id": "1206.6724",
  "version": "v2",
  "published": "2012-06-28T15:18:19.000Z",
  "updated": "2015-01-23T04:38:04.000Z",
  "title": "A Generalization of Martin's Axiom",
  "authors": [
    "David Asperó",
    "Miguel Angel Mota"
  ],
  "comment": "36 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We define the $\\aleph_{1.5}$ chain condition. The corresponding forcing axiom is a generalization of Martin's Axiom and implies certain uniform failures of club--guessing on $\\omega_1$ that don't seem to have been considered in the literature before.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-28T15:18:19.000Z",
      "abstract": "We define a certain class of proper posets with the \\omega_2 chain condition. The corresponding forcing axiom is a generalization of Martin's Axiom and implies certain uniform failures of club--guessing on \\omega_1 that don't seem to have been considered in the literature before.",
      "comment": "19 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-23T04:38:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E50",
      "03E57",
      "03E35",
      "03E05"
    ],
    "keywords": [
      "martins axiom",
      "generalization",
      "uniform failures",
      "chain condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6724A"
    }
  }
}