{
  "id": "0704.0115",
  "version": "v2",
  "published": "2007-04-02T02:00:15.000Z",
  "updated": "2007-04-09T05:12:30.000Z",
  "title": "Smooth maps with singularities of bounded K-codimensions",
  "authors": [
    "Yoshifumi Ando"
  ],
  "comment": "Typographic errors are revised and several expressions are modified to better ones",
  "categories": [
    "math.GT"
  ],
  "abstract": "We will prove the relative homotopy principle for smooth maps with singularities of a given {\\cal K}-invariant class with a mild condition. We next study a filtration of the group of homotopy self-equivalences of a given manifold P by considering singularities of non-negative {\\cal K}-codimensions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-09T05:12:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58K30",
      "57R45"
    ],
    "keywords": [
      "smooth maps",
      "bounded k-codimensions",
      "homotopy self-equivalences",
      "mild condition",
      "relative homotopy principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.0115A"
    }
  }
}