{
  "id": "math/0209086",
  "version": "v2",
  "published": "2002-09-09T01:17:31.000Z",
  "updated": "2003-07-29T04:21:24.000Z",
  "title": "Hechler's theorem for the meager ideal",
  "authors": [
    "Tomek Bartoszynski",
    "Masaru Kada"
  ],
  "comment": "some minor corrections",
  "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 meager 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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-07-29T04:21:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35"
    ],
    "keywords": [
      "meager ideal",
      "hechlers theorem",
      "strict upper bound",
      "real line",
      "forcing notion satisfying ccc"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9086B"
    }
  }
}