{
  "id": "1106.5116",
  "version": "v1",
  "published": "2011-06-25T09:28:23.000Z",
  "updated": "2011-06-25T09:28:23.000Z",
  "title": "A counterexample in the theory of $D$-spaces",
  "authors": [
    "Daniel T. Soukup",
    "Paul J. Szeptycki"
  ],
  "comment": "15 pages, submitted to Top. Appl",
  "categories": [
    "math.GN"
  ],
  "abstract": "Assuming $\\diamondsuit$, we construct a $T_2$ example of a hereditarily Lindel\\\"of space of size $\\omega_1$ which is not a $D$-space. The example has the property that all finite powers are also Lindel\\\"of.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-25T09:28:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D20",
      "54A35"
    ],
    "keywords": [
      "counterexample",
      "finite powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5116S"
    }
  }
}