{
  "id": "0811.4276",
  "version": "v3",
  "published": "2008-11-26T11:24:09.000Z",
  "updated": "2010-09-19T12:30:02.000Z",
  "title": "Embedding the bicyclic semigroup into countably compact topological semigroups",
  "authors": [
    "Taras Banakh",
    "Svetlana Dimitrova",
    "Oleg Gutik"
  ],
  "comment": "14 pages",
  "journal": "Topology Appl. Vol.157, No.18 (2010) 2803-2814",
  "doi": "10.1016/j.topol.2010.08.020",
  "categories": [
    "math.GN",
    "math.GR"
  ],
  "abstract": "We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p,q). On the other hand, we construct a (consistent) example of a pseudocompact (countably compact) Tychonov semigroup containing a copy of C(p,q).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-09-19T12:30:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22A15",
      "54C25",
      "54D35",
      "54H15"
    ],
    "keywords": [
      "countably compact topological semigroups",
      "bicyclic semigroup",
      "pseudocompact square contains",
      "dense copy",
      "tychonov semigroup"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.4276B"
    }
  }
}