{
  "id": "1809.09587",
  "version": "v1",
  "published": "2018-09-25T16:55:41.000Z",
  "updated": "2018-09-25T16:55:41.000Z",
  "title": "On the cardinality of $S(n)$-spaces",
  "authors": [
    "Alexander V. Osipov"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we continue to study of properties of $S(n)$-spaces. We establish bounded on the cardinality of $S(n)$-spaces. Also we constructed the example of $S(n)$ not $\\theta^n$-Urysohn space for every $n\\geq 2$. This is the answer to the question of F.A. Basile, N. Carlson and J. Porter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-25T16:55:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cardinality",
      "urysohn space",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}