{
  "id": "1411.2546",
  "version": "v1",
  "published": "2014-11-10T19:20:15.000Z",
  "updated": "2014-11-10T19:20:15.000Z",
  "title": "Every countable group is the fundamental group of some compact subspace of R^4",
  "authors": [
    "Adam J. Przezdziecki"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "For every countable group G we construct a compact path connected subspace K of R^4 whose fundamental group is isomorphic to G. Our construction is much simpler than the one found recently by Virk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-10T19:20:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55Q05"
    ],
    "keywords": [
      "fundamental group",
      "countable group",
      "compact subspace",
      "compact path connected subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.2546P"
    }
  }
}