{
  "id": "math/0504223",
  "version": "v1",
  "published": "2005-04-11T14:43:24.000Z",
  "updated": "2005-04-11T14:43:24.000Z",
  "title": "Roots of 3-manifolds and cobordisms",
  "authors": [
    "C. Hog-Angeloni",
    "S. Matveev"
  ],
  "comment": "11 pages, 3 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Given a set of simplifying moves on 3-manifolds, we apply them to a given 3-manifold M as long as possible. What we get is a root of M. For us, it makes sense to consider three types of moves: compressions along 2-spheres, proper discs and proper annuli having boundary circles in different components of the boundary of M. Our main result is that for the above moves the root of any 3-manifold exists and is unique. The same result remains true if instead of manifolds we apply the moves to 3-cobordisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-11T14:43:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "cobordisms",
      "result remains true",
      "main result",
      "proper discs",
      "boundary circles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4223H"
    }
  }
}