{
  "id": "2307.16671",
  "version": "v1",
  "published": "2023-07-31T13:47:43.000Z",
  "updated": "2023-07-31T13:47:43.000Z",
  "title": "Boolean dimension of a Boolean lattice",
  "authors": [
    "Marcin Briański",
    "Jędrzej Hodor",
    "Hoang La",
    "Piotr Micek",
    "Katzper Michno"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "For every integer $n$ with $n \\geq 6$, we prove that the Boolean dimension of a poset consisting of all the subsets of $\\{1,\\dots,n\\}$ equipped with the inclusion relation is strictly less than $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-31T13:47:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boolean dimension",
      "boolean lattice",
      "inclusion relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}