{
  "id": "1109.3674",
  "version": "v1",
  "published": "2011-09-16T17:40:37.000Z",
  "updated": "2011-09-16T17:40:37.000Z",
  "title": "Algebrability, non-linear properties, and special functions",
  "authors": [
    "Artur Bartoszewicz",
    "Szymon Glab",
    "Daniel Pellegrino",
    "Juan B. Seoane-Sepúlveda"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We construct uncountably generated algebras inside the following sets of special functions: Sierpi\\'nski-Zygmund functions, perfectly everywhere surjective functions and nowhere continuous Darboux functions. All conclusions obtained in this paper are improvements of some already known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-16T17:40:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special functions",
      "non-linear properties",
      "algebrability",
      "construct uncountably generated algebras inside",
      "continuous darboux functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.3674B"
    }
  }
}