{
  "id": "1612.08838",
  "version": "v1",
  "published": "2016-12-28T09:51:36.000Z",
  "updated": "2016-12-28T09:51:36.000Z",
  "title": "A generalization of $\\varkappa$-metrizable spaces",
  "authors": [
    "Andrzej Kucharski",
    "Sławomir Turek"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We introduce a new class of $\\varkappa$-metrizable spaces, namely countably $\\varkappa$-metrizable spaces. We show that the class of all $\\varkappa$-metrizable spaces is a proper subclass of counably $\\varkappa$-metrizable spaces. On the other hand, for pseudocompact spaces the new class coincides with $\\varkappa$-metrizable spaces. We prove a generalization of a Chigogidze result that the \\v{C}ech-Stone compactification of a pseudocompact countably $\\varkappa$-metrizable space is $\\varkappa$-metrizable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-28T09:51:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54B35",
      "54D35"
    ],
    "keywords": [
      "metrizable space",
      "generalization",
      "proper subclass",
      "pseudocompact spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}