{
  "id": "0810.4627",
  "version": "v1",
  "published": "2008-10-25T17:48:09.000Z",
  "updated": "2008-10-25T17:48:09.000Z",
  "title": "Open maps between shift spaces",
  "authors": [
    "Uijin Jung"
  ],
  "comment": "16 pages, 3 figures; to appear in Ergodic Theory Dynamical Systems",
  "journal": "Ergodic Theory and Dynamical Systems (2009), 29 (4):1257-1272",
  "doi": "10.1017/S0143385708000692",
  "categories": [
    "math.DS"
  ],
  "abstract": "Given a code from a shift space to an irreducible sofic shift, any two of the following three conditions -- open, constant-to-one, (right or left) closing -- imply the third. If the range is not sofic, then the same result holds when bi-closingness replaces closingness. Properties of open mappings between shift spaces are investigated in detail. In particular, we show that a closing open (or constant-to-one) extension preserves the structure of a sofic shift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-25T17:48:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B15",
      "37B40"
    ],
    "keywords": [
      "shift space",
      "open maps",
      "bi-closingness replaces closingness",
      "irreducible sofic shift",
      "result holds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.4627J"
    }
  }
}