{
  "id": "2310.16422",
  "version": "v1",
  "published": "2023-10-25T07:21:42.000Z",
  "updated": "2023-10-25T07:21:42.000Z",
  "title": "Topological Complexity Related To Multi-Valued Functions",
  "authors": [
    "Melih İs"
  ],
  "comment": "14 pages, 1 figure",
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper, we deal with the robot motion planning problem in multi-valued function theory. We first enrich the multi-homotopy studies by introducing a multi-homotopy lifting property and a multi-fibration. Then we compute both a topological multi-complexity and a Lusternik-Schnirelmann multi-category of a space or a multi-fibration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-25T07:21:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32A12",
      "55M30",
      "14D06",
      "14F35"
    ],
    "keywords": [
      "topological complexity",
      "robot motion planning problem",
      "multi-valued function theory",
      "lusternik-schnirelmann multi-category",
      "first enrich"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}