{
  "id": "1904.02736",
  "version": "v1",
  "published": "2019-04-04T18:20:39.000Z",
  "updated": "2019-04-04T18:20:39.000Z",
  "title": "Conceptual proofs of the Menger and Rothberger games",
  "authors": [
    "Piotr Szewczak",
    "Boaz Tsaban"
  ],
  "comment": "Submitted for publication",
  "categories": [
    "math.GN",
    "math.LO"
  ],
  "abstract": "We provide conceptual proofs of the two most fundamental theorems concerning topological games and open covers: Hurewicz's Theorem concerning the Menger game, and Pawlikowski's Theorem concerning the Rothberger game.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-04T18:20:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rothberger game",
      "conceptual proofs",
      "fundamental theorems concerning topological games",
      "pawlikowskis theorem",
      "menger game"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}