{
  "id": "1804.05304",
  "version": "v1",
  "published": "2018-04-15T04:38:51.000Z",
  "updated": "2018-04-15T04:38:51.000Z",
  "title": "Length and Depth",
  "authors": [
    "Shimon Garti",
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We construct, in ZFC, a sequence of Boolean algebras for which the product of Lengths is strictly smaller than the Depth of the product algebra. This gives a positive answer to Problem 30 from Monk's book \"Cardinal invariants on Boolean algebras\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-15T04:38:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06E05"
    ],
    "keywords": [
      "boolean algebras",
      "product algebra",
      "cardinal invariants",
      "monks book",
      "positive answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}