{
  "id": "2108.00341",
  "version": "v1",
  "published": "2021-07-31T23:30:25.000Z",
  "updated": "2021-07-31T23:30:25.000Z",
  "title": "A characteristic-index inequality for closed embeddings of locally compact groups",
  "authors": [
    "Alexandru Chirvasitu"
  ],
  "comment": "10 pages + references",
  "categories": [
    "math.GR",
    "math.AT",
    "math.GN"
  ],
  "abstract": "The characteristic index of a locally compact connected group $G$ is the non-negative integer $d$ for which we have a homeomorphism $G\\cong K\\times \\mathbb{R}^d$ with $K\\le G$ maximal compact. We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-31T23:30:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05",
      "22E15",
      "22E60",
      "57T15",
      "55T10"
    ],
    "keywords": [
      "locally compact groups",
      "characteristic-index inequality",
      "closed embeddings",
      "characteristic index",
      "locally compact connected group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}