{
  "id": "1612.03133",
  "version": "v1",
  "published": "2016-12-09T19:13:55.000Z",
  "updated": "2016-12-09T19:13:55.000Z",
  "title": "Topological Complexity of the Klein bottle",
  "authors": [
    "Daniel C. Cohen",
    "Lucile Vandembroucq"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that the (normalized) topological complexity of the Klein bottle is $4$. We also show that, for any $g\\geq 2$, $TC(N_g)=4$. This completes the recent work by Dranishnikov on the topological complexity of non-orientable surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-09T19:13:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological complexity",
      "klein bottle",
      "dranishnikov"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}