{
  "id": "math/0604257",
  "version": "v1",
  "published": "2006-04-11T19:05:50.000Z",
  "updated": "2006-04-11T19:05:50.000Z",
  "title": "Automatic continuity in homeomorphism groups of compact 2-manifolds",
  "authors": [
    "Christian Rosendal"
  ],
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We show that any homomorphism from the homeomorphism group of a compact 2-manifold, with the compact-open topology, or equivalently, with the topology of uniform convergence, into a separable topological group is automatically continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-11T19:05:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homeomorphism group",
      "automatic continuity",
      "compact-open topology",
      "uniform convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4257R"
    }
  }
}