{
  "id": "1311.5039",
  "version": "v2",
  "published": "2013-11-20T12:37:22.000Z",
  "updated": "2015-03-12T10:41:26.000Z",
  "title": "Face numbers of down-sets",
  "authors": [
    "Michal Adamaszek"
  ],
  "comment": "3 pages, accepted to Amer. Math. Monthly, v2: typos fixed",
  "categories": [
    "math.CO"
  ],
  "abstract": "We compare various viewpoints on down-sets (simplicial complexes), illustrating how the combinatorial inclusion-exclusion principle may serve as an alternative to more advanced methods of studying their face numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-20T12:37:22.000Z",
      "comment": "3 pages, accepted to Amer. Math. Monthly",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-03-12T10:41:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "face numbers",
      "combinatorial inclusion-exclusion principle",
      "simplicial complexes",
      "viewpoints"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5039A"
    }
  }
}