{
  "id": "math/0006219",
  "version": "v1",
  "published": "2000-06-28T15:39:27.000Z",
  "updated": "2000-06-28T15:39:27.000Z",
  "title": "Historic forcing for Depth",
  "authors": [
    "Andrzej Roslanowski",
    "Saharon Shelah"
  ],
  "journal": "Colloq. Math. 89 (2001) 9-115",
  "categories": [
    "math.LO"
  ],
  "abstract": "We show that, consistently, for some regular cardinals theta<lambda, there exists a Boolean algebra B such that B=lambda^+ and for every subalgebra B' of B of size lambda^+ we have Depth(B')=theta.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-06-28T15:39:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03E35",
      "03G05",
      "03E05",
      "06Exx"
    ],
    "keywords": [
      "historic forcing",
      "regular cardinals",
      "boolean algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6219R"
    }
  }
}