{
  "id": "2007.13500",
  "version": "v1",
  "published": "2020-07-27T12:46:50.000Z",
  "updated": "2020-07-27T12:46:50.000Z",
  "title": "Preservation of splitting families and cardinal characteristics of the continuum",
  "authors": [
    "Martin Goldstern",
    "Jakob Kellner",
    "Diego A. Mejía",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We show how to construct, via forcing, splitting families than are preserved by a certain type of finite support iterations. As an application, we construct a model where 15 classical characteristics of the continuum are pairwise different, concretely: the 10 (non-dependent) entries in Cicho\\'n's diagram, $\\mathfrak{m}(2\\text{-Knaster})$, $\\mathfrak{p}$, $\\mathfrak{h}$, the splitting number $\\mathfrak{s}$ and the reaping number $\\mathfrak{r}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-27T12:46:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E17",
      "03E35",
      "03E40"
    ],
    "keywords": [
      "splitting families",
      "cardinal characteristics",
      "preservation",
      "finite support iterations",
      "cichons diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}