{
  "id": "1504.02596",
  "version": "v2",
  "published": "2015-04-10T09:06:09.000Z",
  "updated": "2015-04-14T12:26:30.000Z",
  "title": "Topological complexity, minimality and systems of order two on torus",
  "authors": [
    "Yixiao Qiao"
  ],
  "comment": "17 pages, accepted for publication in SCIENCE CHINA Mathematics",
  "categories": [
    "math.DS"
  ],
  "abstract": "The dynamical system on T^2 which is a group extension over an irrational rotation on T^1 is investigated. The criterion when the extension is minimal, a system of order 2 and when the maximal equicontinuous factor is the irrational rotation is given. The topological complexity of the extension is computed, and a negative answer to the latter part of an open question raised by Host-Kra-Maass is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-10T09:06:09.000Z",
      "comment": "17 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-14T12:26:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "topological complexity",
      "minimality",
      "irrational rotation",
      "group extension",
      "maximal equicontinuous factor"
    ],
    "publication": {
      "doi": "10.1007/s11425-015-5042-0",
      "journal": "Science in China A: Mathematics",
      "year": 2016,
      "month": "Mar",
      "volume": 59,
      "number": 3,
      "pages": 503
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016ScChA..59..503Q"
    }
  }
}