{
  "id": "1711.01718",
  "version": "v1",
  "published": "2017-11-06T04:03:13.000Z",
  "updated": "2017-11-06T04:03:13.000Z",
  "title": "Category and Topological Complexity of the configuration space $F(G\\times \\mathbb{R}^n,k)$",
  "authors": [
    "Cesar A. Ipanaque Zapata"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "The Lusternik-Schnirelmann category $cat(-)$ and Topological complexity $TC(-)$ are homotopy invariants which have interesting applications in Robotics, specifically, in the robot motion planning problem. In this paper we calculate the Lusternik-Schnirelmann category and topological complexity of the configuration space of $2$ distinct points in the product $\\mathbb{S}^1\\times\\mathbb{R}^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-06T04:03:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological complexity",
      "configuration space",
      "lusternik-schnirelmann category",
      "robot motion planning problem",
      "homotopy invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}