{
  "id": "0711.0072",
  "version": "v1",
  "published": "2007-11-01T06:34:12.000Z",
  "updated": "2007-11-01T06:34:12.000Z",
  "title": "Note on the question of Sikora",
  "authors": [
    "Konstantin Storozhuk"
  ],
  "comment": "1 page",
  "categories": [
    "math.GR"
  ],
  "abstract": "A natural topology on the set of left orderings on free abelian groups and free groups $F_n$, $n>1$ has studied in [1]. It has been proven already that in the abelian case the resulted topological space is a Cantor set. There was a conjecture: this is also true for the free group $F_n$ with $n>1$ generators. We point out the article dealing with equivalent questions. The answer is \"yes\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-01T06:34:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06F15"
    ],
    "keywords": [
      "free group",
      "free abelian groups",
      "natural topology",
      "abelian case",
      "left orderings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.0072S"
    }
  }
}