{
  "id": "1104.1820",
  "version": "v1",
  "published": "2011-04-11T00:55:25.000Z",
  "updated": "2011-04-11T00:55:25.000Z",
  "title": "Characterizing maximal compact subgroups",
  "authors": [
    "Sergey A. Antonyan"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GN",
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that for a compact subgroup $H$ of an almost connected locally compact Hausdorff group $G$, the following properties are mutually equivalent: (1) $H$ is a maximal compact subgroup of $G$, (2) $G/H$ is contractible, (3) $G/H$ is homeomorphic to a Euclidean space, (4) $G/H$ is an AE for paracompact spaces, (5) $G/H$ is a $G$-AE for paracompact proper $G$-spaces having a paracompact orbit space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-11T00:55:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05",
      "22F05",
      "54C55"
    ],
    "keywords": [
      "characterizing maximal compact subgroups",
      "paracompact orbit space",
      "connected locally compact hausdorff group",
      "paracompact proper",
      "paracompact spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1820A"
    }
  }
}