{
  "id": "2304.09698",
  "version": "v1",
  "published": "2023-04-19T14:41:30.000Z",
  "updated": "2023-04-19T14:41:30.000Z",
  "title": "More on Halfway New Cardinal Characteristics",
  "authors": [
    "Barnabás Farkas",
    "Lukas Daniel Klausner",
    "Marc Lischka"
  ],
  "comment": "14 pages, 2 figures",
  "categories": [
    "math.LO"
  ],
  "abstract": "We continue investigating variants of the splitting and reaping numbers introduced in arXiv:1808.02442. In particular, answering a question raised there, we prove the consistency of $\\mathrm{cof}(\\mathcal{M})<\\mathfrak{s}_{\\frac{1}{2}}$ and of $\\mathfrak{r}_{\\frac{1}{2}}<\\mathrm{add}(\\mathcal{M})$. Moreover, we discuss their natural generalisations $\\mathfrak{s}_\\rho$ and $\\mathfrak{r}_\\rho$ for $\\rho\\in (0,1)$, and show that $\\mathfrak{r}_\\rho$ does not depend on $\\rho$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-19T14:41:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E17",
      "03E40"
    ],
    "keywords": [
      "cardinal characteristics",
      "continue investigating variants",
      "natural generalisations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}