{
  "id": "math/0410433",
  "version": "v1",
  "published": "2004-10-20T07:12:18.000Z",
  "updated": "2004-10-20T07:12:18.000Z",
  "title": "Complexity of 3-orbifolds",
  "authors": [
    "Carlo Petronio"
  ],
  "comment": "29 pages, 12 figures",
  "journal": "Topology Appl. 153 (2006), 1658-1681",
  "categories": [
    "math.GT"
  ],
  "abstract": "We extend Matveev's theory of complexity for 3-manifolds, based on simple spines, to (closed, orientable, locally orientable) 3-orbifolds. We prove naturality and finiteness for irreducible 3-orbifolds, and, with certain restrictions and subtleties, additivity under orbifold connected sum. We also develop the theory of handle decompositions for 3-orbifolds and the corresponding theory of normal 2-suborbifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-20T07:12:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99"
    ],
    "keywords": [
      "complexity",
      "extend matveevs theory",
      "simple spines",
      "orbifold connected sum",
      "handle decompositions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10433P"
    }
  }
}