{
  "id": "math/0703091",
  "version": "v1",
  "published": "2007-03-03T15:40:36.000Z",
  "updated": "2007-03-03T15:40:36.000Z",
  "title": "A family of covering properties for forcing axioms and strongly compact cardinals",
  "authors": [
    "Matteo Viale"
  ],
  "comment": "21 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "This paper presents the main results in my Ph.D. thesis. In what follows several proofs of SCH are presented introducing a family of covering properties which implies both SCH and the failure of various forms of square. These covering properties are also applied to investigate models of strongly compact cardinals or of strong forcing axioms like MM or PFA.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-03T15:40:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E10",
      "03E65",
      "03E75"
    ],
    "keywords": [
      "strongly compact cardinals",
      "covering properties",
      "strong forcing axioms",
      "main results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3091V"
    }
  }
}