{
  "id": "2007.12373",
  "version": "v1",
  "published": "2020-07-24T06:46:28.000Z",
  "updated": "2020-07-24T06:46:28.000Z",
  "title": "Compact condensations of Hausdorff spaces",
  "authors": [
    "Vitalii I. Belugin",
    "Alexander V. Osipov",
    "Evgenii G. Pytkeev"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we continue to study one of the classic problems in general topology raised by P.S. Alexandrov: when a Hausdorff space $X$ has a continuous bijection (a condensation) onto a compactum? We concentrate on the situation when not only $X$ but also $X\\setminus Y$ can be condensed onto a compactum whenever the cardinality of $Y$ does not exceed certain $\\tau$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-24T06:46:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hausdorff space",
      "compact condensations",
      "classic problems",
      "general topology",
      "alexandrov"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}