{
  "id": "math/0211244",
  "version": "v8",
  "published": "2002-11-15T20:02:54.000Z",
  "updated": "2004-02-22T04:00:14.000Z",
  "title": "Hechler's theorem for the null ideal",
  "authors": [
    "Maxim R. Burke",
    "Masaru Kada"
  ],
  "comment": "v8: Minor corrections",
  "journal": "Arch. Math. Logic, Vol. 43(2004), pp. 703--722.",
  "doi": "10.1007/s00153-004-0224-4",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the forcing model, there is a basis of the null ideal of the real line which is order-isomorphic to Q with respect to set-inclusion. This is a variation of Hechler's classical result in the theory of forcing, and the statement of the theorem for the meager ideal has been already proved by Bartoszynski and the author.",
  "revisions": [
    {
      "version": "v8",
      "updated": "2004-02-22T04:00:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03E17"
    ],
    "keywords": [
      "null ideal",
      "hechlers theorem",
      "strict upper bound",
      "hechlers classical result",
      "real line"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11244B"
    }
  }
}