{
  "id": "0707.4329",
  "version": "v3",
  "published": "2007-07-30T03:39:00.000Z",
  "updated": "2008-05-14T01:45:52.000Z",
  "title": "Cobordisms of maps with singularities of a given class",
  "authors": [
    "Yoshifumi Ando"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "Let P be a connected smooth p-manifold. We describe the group of all cobordism classes of smooth maps of n-manifolds to P with singularities of a given $cal K$-invariant class in terms of certain stable homotopy groups by applying the relative homotopy principle on the existence level. We also deal with the oriented version and construct a classifying space to which this oriented cobordism group is represented as the set of homotopy classes of P in the codimension n<p and n\\geqq p\\geqq 2.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-14T01:45:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "57R90"
    ],
    "keywords": [
      "singularities",
      "homotopy classes",
      "cobordism classes",
      "smooth maps",
      "oriented cobordism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4329A"
    }
  }
}