{
  "id": "1708.08128",
  "version": "v1",
  "published": "2017-08-27T19:53:43.000Z",
  "updated": "2017-08-27T19:53:43.000Z",
  "title": "The Baire classification of strongly separately continuous functions on $\\ell_\\infty$",
  "authors": [
    "Olena Karlova",
    "Tomáš Visnyai"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We prove that for any $\\alpha\\in[0,\\omega_1)$ there exists a strongly separately continuous function $f:\\ell_\\infty\\to [0,1]$ such that $f$ belongs to the $(\\alpha+1)$'th /$(\\alpha+2)$'th/ Baire class and does not belong to the $\\alpha$'th Baire class if $\\alpha$ is finite /infinite/.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-27T19:53:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strongly separately continuous function",
      "baire classification",
      "th baire class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}