{
  "id": "0904.4465",
  "version": "v3",
  "published": "2009-04-28T19:16:19.000Z",
  "updated": "2011-09-22T03:07:02.000Z",
  "title": "On fundamental groups of quotient spaces",
  "authors": [
    "Jack S. Calcut",
    "Robert E. Gompf",
    "John D. McCarthy"
  ],
  "comment": "12 pages, 4 figures; added references, keywords, and Remark 1.2; accepted at Topology and its Applications",
  "journal": "Topol. Appl. 159 (2012), 322-330",
  "categories": [
    "math.GN",
    "math.DS"
  ],
  "abstract": "In classical covering space theory, a covering map induces an injection of fundamental groups. This paper reveals a dual property for certain quotient maps having connected fibers, with applications to orbit spaces of vector fields and leaf spaces in general.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-09-22T03:07:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B15",
      "57M05",
      "37C10",
      "55U10"
    ],
    "keywords": [
      "fundamental groups",
      "quotient spaces",
      "leaf spaces",
      "classical covering space theory",
      "dual property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.4465C"
    }
  }
}