{
  "id": "math/0603513",
  "version": "v1",
  "published": "2006-03-21T16:19:45.000Z",
  "updated": "2006-03-21T16:19:45.000Z",
  "title": "Hereditarily non-topologizable groups",
  "authors": [
    "Gábor Lukács"
  ],
  "comment": "v0.99, 4 pages",
  "journal": "Topology Proceedings 33 (2009), 269-275",
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "A group G is non-topologizable if the only Hausdorff group topology that G admits is the discrete one. Is there an infinite group G such that H/N is non-topologizable for every subgroup H <= G and every normal subgroup N <| H? We show that a solution of this essentially group theoretic question provides a solution to the problem of c-compactness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-21T16:19:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "22C05",
      "22A05",
      "54H11"
    ],
    "keywords": [
      "hereditarily non-topologizable groups",
      "hausdorff group topology",
      "essentially group theoretic question",
      "infinite group",
      "normal subgroup"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3513L"
    }
  }
}