{
  "id": "1605.04087",
  "version": "v1",
  "published": "2016-05-13T09:01:50.000Z",
  "updated": "2016-05-13T09:01:50.000Z",
  "title": "Every filter is homeomorphic to its square",
  "authors": [
    "Andrea Medini",
    "Lyubomyr Zdomskyy"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "We show that every filter $\\mathcal{F}$ on $\\omega$, viewed as a subspace of $2^\\omega$, is homeomorphic to $\\mathcal{F}^2$. This generalizes a theorem of van Engelen, who proved that this holds for Borel filters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-13T09:01:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H99",
      "54E99",
      "03E05"
    ],
    "keywords": [
      "homeomorphic",
      "van engelen",
      "borel filters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}