{
  "id": "1805.11796",
  "version": "v1",
  "published": "2018-05-30T04:15:44.000Z",
  "updated": "2018-05-30T04:15:44.000Z",
  "title": "Decomposing functions of Baire class $2$ on Polish spaces",
  "authors": [
    "Longyun Ding",
    "Jiafei Zhao"
  ],
  "comment": "18 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove the Decomposability Conjecture for functions of Baire class $2$ on a Polish space to a separable metrizable space. This partially answer an important open problem in descriptive set theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-30T04:15:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E15",
      "54H05",
      "26A21"
    ],
    "keywords": [
      "baire class",
      "polish space",
      "decomposing functions",
      "important open problem",
      "decomposability conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}