{
  "id": "math/0106105",
  "version": "v1",
  "published": "2001-06-13T09:25:15.000Z",
  "updated": "2001-06-13T09:25:15.000Z",
  "title": "Topological groups with several disconnectedness",
  "authors": [
    "Masasi Higasikawa"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "We investigate some properties of topological groups related to disconnectedness or Archimedeanness. We prove or disprove the preservation of those under operations as subgroups, quotients, products, etc. Characterizations of non-Archimedeanness are obtained by using embedding into universal groups. We also clarify the differences between the properties by constructing miscellaneous Polish groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-13T09:25:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A05"
    ],
    "keywords": [
      "topological groups",
      "disconnectedness",
      "properties",
      "universal groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6105H"
    }
  }
}