{
  "id": "0810.5217",
  "version": "v1",
  "published": "2008-10-29T08:57:59.000Z",
  "updated": "2008-10-29T08:57:59.000Z",
  "title": "Morasses and finite support iterations",
  "authors": [
    "Bernhard Irrgang"
  ],
  "comment": "accepted for the Proceedings of the AMS",
  "categories": [
    "math.LO"
  ],
  "abstract": "We introduce a method of constructing a forcing along a simplified $(\\kappa,1)$-morass such that the forcing satisfies the $\\kappa$-chain condition. Alternatively, this may be seen as a method to thin out a larger forcing to get a chain condition. As an application, we construct a ccc forcing that adds an $\\omega_2$-Suslin tree. Related methods are Shelah's historic forcing and Todorcevic's $\\rho$-functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-29T08:57:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E05",
      "03E35",
      "03E40"
    ],
    "keywords": [
      "finite support iterations",
      "chain condition",
      "suslin tree",
      "shelahs historic",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5217I"
    }
  }
}