{
  "id": "1401.7964",
  "version": "v2",
  "published": "2014-01-30T19:40:36.000Z",
  "updated": "2014-02-01T17:27:29.000Z",
  "title": "Metrizable DH-spaces of the first category",
  "authors": [
    "Sergey Medvedev"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "We show that if a separable space X has a meager open subset containing a copy of the Cantor set 2^\\omega, then X has $\\frak{c}$ types of countable dense subsets. We suggest a generalization of the \\lambda-set for non-separable spaces. Let X be an h-homogeneous \\Lambda-set. Then X is densely homogeneous and (X \\setminus A) is homeomorphic to X for every \\sigma-discrete A \\subset X.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-01T17:27:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first category",
      "metrizable dh-spaces",
      "meager open subset containing",
      "cantor set",
      "countable dense subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.7964M"
    }
  }
}