{
  "id": "1106.3836",
  "version": "v1",
  "published": "2011-06-20T08:20:56.000Z",
  "updated": "2011-06-20T08:20:56.000Z",
  "title": "About remainders in compactifications of paratopological groups",
  "authors": [
    "Fucai Lin",
    "Shou Lin"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GN",
    "math.GR"
  ],
  "abstract": "In this paper, we prove a dichotomy theorem for remainders in compactifications of paratopological groups: every remainder of a paratopological group $G$ is either Lindel\\\"{o}f and meager or Baire. Moreover, we give a negative answer for a question posed by D. Basile and A. Bella in \\cite{B1}, and some questions about remainders of paratopological groups are posed in the paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-20T08:20:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A25",
      "54B05",
      "54D35",
      "54D40"
    ],
    "keywords": [
      "paratopological group",
      "compactifications",
      "dichotomy theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.3836L"
    }
  }
}