{
  "id": "1511.08907",
  "version": "v1",
  "published": "2015-11-28T16:07:04.000Z",
  "updated": "2015-11-28T16:07:04.000Z",
  "title": "Topological simplicity of the Cremona groups",
  "authors": [
    "Jérémy Blanc",
    "Susanna Zimmermann"
  ],
  "categories": [
    "math.AG",
    "math.GN",
    "math.GR"
  ],
  "abstract": "The Cremona group is topologically simple when endowed with the Zariski or Euclidean topology, in any dimension $\\ge 2$ and over any infinite field. Two elements are moreover always connected by an affine line, so the group is path-connected.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-28T16:07:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07",
      "22F50",
      "14R20"
    ],
    "keywords": [
      "cremona group",
      "topological simplicity",
      "euclidean topology",
      "affine line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151108907B"
    }
  }
}