{
  "id": "1010.3329",
  "version": "v1",
  "published": "2010-10-16T06:57:44.000Z",
  "updated": "2010-10-16T06:57:44.000Z",
  "title": "A decomposition theorem for compact groups with application to supercompactness",
  "authors": [
    "Wiesław Kubiś",
    "Sławomir Turek"
  ],
  "comment": "12 pages",
  "journal": "Cent. Eur. J. Math. 9 (2011), no. 3, 593--602",
  "doi": "10.2478/s11533-011-0019-x",
  "categories": [
    "math.GN"
  ],
  "abstract": "We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-16T06:57:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22C05",
      "54D30",
      "54H11"
    ],
    "keywords": [
      "compact group",
      "decomposition theorem",
      "application",
      "supercompactness",
      "simple compact lie group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.3329K"
    }
  }
}