{
  "id": "math/0003206",
  "version": "v1",
  "published": "2000-03-29T18:21:15.000Z",
  "updated": "2000-03-29T18:21:15.000Z",
  "title": "A generalization of Hagopian's theorem and exponents",
  "authors": [
    "Alex Clark"
  ],
  "comment": "Submitted to \"Topology and its Applications\"",
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "We generalize Hagopian's theorem characterizing solenoids to higher dimensions by showing that any homogeneous continuum admitting a fiber bundle projection onto a torus with totally disconnected fibers admits a compatible abelian topological group structure. The higher dimensional exponent group is then introduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-03-29T18:21:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F15",
      "37B45"
    ],
    "keywords": [
      "generalization",
      "higher dimensional exponent group",
      "fiber bundle projection",
      "generalize hagopians theorem characterizing solenoids",
      "compatible abelian topological group structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......3206C"
    }
  }
}