{
  "id": "1304.0472",
  "version": "v2",
  "published": "2013-04-01T20:30:34.000Z",
  "updated": "2014-01-24T13:55:02.000Z",
  "title": "Partitioning bases of topological spaces",
  "authors": [
    "Daniel T. Soukup",
    "Lajos Soukup"
  ],
  "comment": "26 pages, revised, submitted to CMUC",
  "categories": [
    "math.GN"
  ],
  "abstract": "We investigate whether an arbitrary base for a dense-in-itself topological space can be partitioned into two bases. We prove that every base for a T_3 Lindel\\\"of topology can be partitioned into two bases while there exists a consistent example of a first countable, 0-dimensional, Hausdorff space of size continuum and weight \\omega_1 which admits a point countable base without a partition to two bases. Several related results are proved and the paper finishes with a list of open problems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-24T13:55:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54A35",
      "03E35",
      "54A25"
    ],
    "keywords": [
      "partitioning bases",
      "arbitrary base",
      "hausdorff space",
      "open problems",
      "point countable base"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0472S"
    }
  }
}