{
  "id": "math/0203118",
  "version": "v3",
  "published": "2002-03-13T01:29:36.000Z",
  "updated": "2002-07-15T21:46:52.000Z",
  "title": "Multiple points of immersions",
  "authors": [
    "Konstantin Salikhov"
  ],
  "comment": "Minor corrections",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "Given smooth manifolds $V^n$ and $M^m$, an integer $k$, and an immersion $f:V\\looparrowright M$, we have constructed an obstruction for existence of regular homotopy of $f$ to an immersion $f':V\\looparrowright M$ without $k$-fold points. This obstruction takes values in certain framed bordism group, and for $(k+1)(n+1)\\leq km$ turns out to be complete.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-07-15T21:46:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple points",
      "smooth manifolds",
      "framed bordism group",
      "fold points",
      "regular homotopy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......3118S"
    }
  }
}