{
  "id": "math/0405012",
  "version": "v1",
  "published": "2004-05-01T20:35:42.000Z",
  "updated": "2004-05-01T20:35:42.000Z",
  "title": "Necessary and sufficient condition of Morse-Sard theorem for real valued functions",
  "authors": [
    "Azat Ainouline"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CA",
    "math.GT"
  ],
  "abstract": "Necessary and sufficient condition is given for a set $A\\subset R^1$ to be a subset of the critical values set for a $C^k$ function $f:R^m \\to R^1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-01T20:35:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58K05",
      "58C25"
    ],
    "keywords": [
      "real valued functions",
      "sufficient condition",
      "morse-sard theorem",
      "critical values set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5012A"
    }
  }
}