{
  "id": "math/0612796",
  "version": "v1",
  "published": "2006-12-27T20:28:07.000Z",
  "updated": "2006-12-27T20:28:07.000Z",
  "title": "Dissecting the 2-sphere by immersions",
  "authors": [
    "Tahl Nowik"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "The self intersection of an immersion i : S^2 \\to R^3 dissects S^2 into pieces which are planar surfaces (unless i is an embedding). In this work we determine what collections of planar surfaces may be obtained in this way. In particular, for every n we construct an immersion i : S^2 \\to R^3 with 2n triple points, for which all pieces are discs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-27T20:28:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "planar surfaces",
      "2n triple points",
      "dissecting",
      "self intersection",
      "collections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12796N"
    }
  }
}