{
  "id": "2304.07231",
  "version": "v1",
  "published": "2023-03-16T12:57:42.000Z",
  "updated": "2023-03-16T12:57:42.000Z",
  "title": "On the continuity of the inverse in (strongly) paratopological gyrogroups",
  "authors": [
    "Ying-Ying Jin",
    "Li-Hong Xie"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we consider the continuity of the inverse in (strongly) paratopological gyrogroups. The conclusions are established as follows: (1)\\, Every pseudocompact Tychonoff strongly paratopological gyrogroup is a topological gyrogroup; (2) Suppose that $(G, \\tau,\\oplus)$ is a locally compact strongly paratopological gyrogroup with a symmetric neighborhood base $\\mathscr{B}$ at 0. Then $G$ is a strongly topological gyrogroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-16T12:57:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continuity",
      "pseudocompact tychonoff strongly paratopological gyrogroup",
      "symmetric neighborhood base",
      "locally compact strongly paratopological gyrogroup",
      "conclusions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}