{
  "id": "1808.07160",
  "version": "v1",
  "published": "2018-08-21T23:47:48.000Z",
  "updated": "2018-08-21T23:47:48.000Z",
  "title": "Meager Sets, Games and Singular Cardinals",
  "authors": [
    "Liljana Babinkostova",
    "Marion Scheepers"
  ],
  "comment": "6 pages",
  "categories": [
    "math.LO",
    "math.GN"
  ],
  "abstract": "We show that a statement concerning the existence of winning strategies of limited memory in an infinite two-person topological game is equivalent to a weak version of the Singular Cardinals Hypothesis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-21T23:47:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "91A44",
      "03E05",
      "03E35",
      "03E55",
      "03E65",
      "54E52"
    ],
    "keywords": [
      "meager sets",
      "singular cardinals hypothesis",
      "infinite two-person topological game",
      "weak version",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}