{
  "id": "1605.06755",
  "version": "v1",
  "published": "2016-05-22T08:17:33.000Z",
  "updated": "2016-05-22T08:17:33.000Z",
  "title": "A combinatorial description of topological complexity for finite spaces",
  "authors": [
    "Kohei Tanaka"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "This paper presents a combinatorial analog of topological complexity for finite spaces. We demonstrate that this coincides with the genuine topological complexity of the original finite space, and constitutes an upper bound for the topological complexity of its order complex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-22T08:17:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial description",
      "original finite space",
      "genuine topological complexity",
      "order complex",
      "combinatorial analog"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}