{
  "id": "2106.01803",
  "version": "v1",
  "published": "2021-06-03T12:49:56.000Z",
  "updated": "2021-06-03T12:49:56.000Z",
  "title": "Continuity of the inverse",
  "authors": [
    "Evgenii Reznichenko"
  ],
  "comment": "in russian, 2008, http://gtopology.math.msu.su/erezn-ci",
  "categories": [
    "math.GN"
  ],
  "abstract": "We define $\\Delta$-Baire spaces. If a paratopological group $G$ is $\\Delta$-Baire space, then $G$ is a topological group. Locally pseudocompact spaces, Baire $p$-spaces, Baire $\\Sigma$-spaces, products of \\v{C}ech-complete spaces are $\\Delta$-Baire spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-03T12:49:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H11",
      "54E52"
    ],
    "keywords": [
      "baire space",
      "continuity",
      "locally pseudocompact spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}