{
  "id": "0807.3662",
  "version": "v1",
  "published": "2008-07-23T13:34:29.000Z",
  "updated": "2008-07-23T13:34:29.000Z",
  "title": "Homotopy Type of Disentanglements of Multi-germs",
  "authors": [
    "Kevin Houston"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "For a complex analytic map f from n-space to p-space with n<p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogous to the Milnor fibre for functions. For mono-germs it is known that the disentanglement is a wedge of spheres of possibly varying dimensions. In this paper we give a condition that allows us to deduce that the same is true for a large class of multi-germs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-23T13:34:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B07",
      "32S05",
      "32S30"
    ],
    "keywords": [
      "homotopy type",
      "disentanglement",
      "multi-germs",
      "complex analytic map",
      "large class"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1017/S0305004109002540",
      "journal": "Mathematical Proceedings of the Cambridge Philosophical Society",
      "year": 2009,
      "month": "May",
      "volume": 147,
      "number": 2,
      "pages": 505
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009MPCPS.147..505H"
    }
  }
}