{
  "id": "1505.01094",
  "version": "v1",
  "published": "2015-05-05T17:55:00.000Z",
  "updated": "2015-05-05T17:55:00.000Z",
  "title": "Banach-Mazur game played in partially ordered sets",
  "authors": [
    "Wieslaw Kubiś"
  ],
  "comment": "13 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We present a version of the Banach-Mazur game, where open sets are replaced by elements of a fixed partially ordered set. We show how to apply it in the theory of Fraisse limits and beyond, obtaining simple proofs of universality of certain objects and classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-05T17:55:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "91A44",
      "03C50",
      "54E52"
    ],
    "keywords": [
      "banach-mazur game",
      "fraisse limits",
      "open sets",
      "obtaining simple proofs",
      "fixed partially ordered set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150501094K"
    }
  }
}