{
  "id": "1712.03899",
  "version": "v1",
  "published": "2017-12-11T17:20:49.000Z",
  "updated": "2017-12-11T17:20:49.000Z",
  "title": "Products of Hurewicz spaces in the Laver model",
  "authors": [
    "Dušan Repovš",
    "Lyubomyr Zdomskyy"
  ],
  "comment": "10 pages",
  "journal": "Bulletin of Symbolic Logic 23:3 (2017), 324--333",
  "doi": "10.1017/bsl.2017.24",
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "This article is devoted to the interplay between forcing with fusion and combinatorial covering properties. We illustrate this interplay by proving that in the Laver model for the consistency of the Borel's conjecture, the product of any two metrizable spaces with the Hurewicz property has the Menger property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-11T17:20:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "54D20",
      "54C50",
      "03E05"
    ],
    "keywords": [
      "laver model",
      "hurewicz spaces",
      "hurewicz property",
      "menger property",
      "combinatorial covering properties"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}