{
  "id": "1703.08634",
  "version": "v1",
  "published": "2017-03-25T01:09:09.000Z",
  "updated": "2017-03-25T01:09:09.000Z",
  "title": "On cardinal characteristics of Yorioka ideals",
  "authors": [
    "Miguel A. Cardona",
    "Diego A. Mejía"
  ],
  "comment": "24 pages, 3 figures. Submitted",
  "categories": [
    "math.LO"
  ],
  "abstract": "Yorioka [J. Symbolic Logic 67(4):1373-1384, 2002] introduced a class of ideals (parametrized by reals) on the Cantor space to prove that the relation between the size of the continuum and the cofinality of the strong measure zero ideal on the real line cannot be decided in ZFC. We construct a matrix iteration of ccc posets to force that, for many ideals in that class, their associated cardinal invariants (i.e. additivity, covering, uniformity and cofinality) are pairwise different.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-25T01:09:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E17",
      "03E15",
      "03E35",
      "03E40"
    ],
    "keywords": [
      "yorioka ideals",
      "cardinal characteristics",
      "strong measure zero ideal",
      "real line",
      "symbolic logic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}