{
  "id": "0710.0155",
  "version": "v1",
  "published": "2007-09-30T16:01:06.000Z",
  "updated": "2007-09-30T16:01:06.000Z",
  "title": "How can we recover Baire class one functions?",
  "authors": [
    "Dominique Lecomte"
  ],
  "journal": "Mathematika 50 (2003) 171-198",
  "categories": [
    "math.LO",
    "math.FA",
    "math.GN"
  ],
  "abstract": "Let X and Y be separable metrizable spaces, and f:X-->Y be a function. We want to recover f from its values on a small set via a simple algorithm. We show that this is possible if f is Baire class one, and in fact we get a characterization. This leads us to the study of sets of Baire class one functions and to a characterization of the separability of the dual space of an arbitrary Banach space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-30T16:01:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A21",
      "54H05",
      "03E15",
      "46A20"
    ],
    "keywords": [
      "baire class",
      "arbitrary banach space",
      "dual space",
      "characterization",
      "small set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0155L"
    }
  }
}