{
  "id": "1311.2219",
  "version": "v1",
  "published": "2013-11-09T21:33:38.000Z",
  "updated": "2013-11-09T21:33:38.000Z",
  "title": "The poset of posets",
  "authors": [
    "Serge Bouc"
  ],
  "categories": [
    "math.AT",
    "math.CO",
    "math.GR"
  ],
  "abstract": "Let X be a finite set. This paper describes some topological and combinatorial properties of the poset \\Omega_X of order relations on X. In particular, the homotopy type of all the intervals in \\Omega_X is precisely determined, and the M\\\"obius function of \\Omega_X is computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-09T21:33:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite set",
      "combinatorial properties",
      "order relations",
      "homotopy type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.2219B"
    }
  }
}