{
  "id": "0901.3876",
  "version": "v2",
  "published": "2009-01-25T06:21:10.000Z",
  "updated": "2011-07-13T23:11:41.000Z",
  "title": "Lattice initial segments of the Turing degrees",
  "authors": [
    "Bjørn Kjos-Hanssen"
  ],
  "comment": "Doctoral dissertation, Logic and the Methodology of Science, University of California, Berkeley, 2002",
  "categories": [
    "math.LO"
  ],
  "abstract": "We characterize the isomorphism types of principal ideals of the Turing degrees below 0' that are lattices as the lattices with a Sigma-0-3 presentation, by showing that each Sigma-0-3 presentable bounded upper semilattice is isomorphic to such a principal ideal. We get a similar result for the Turing degrees below any degree above 0\".",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-13T23:11:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03D28",
      "03D25",
      "06A12",
      "06A15"
    ],
    "keywords": [
      "lattice initial segments",
      "turing degrees",
      "principal ideal",
      "similar result",
      "presentable bounded upper semilattice"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}