{
  "id": "1406.4419",
  "version": "v1",
  "published": "2014-06-17T16:41:49.000Z",
  "updated": "2014-06-17T16:41:49.000Z",
  "title": "The fundamental groupoid as a terminal costack",
  "authors": [
    "Ilia Pirashvili"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $X$ be a topological space. We denote by $\\pi_0(X)$ the set of connected components of $X$ and by $\\Pi_1(U)$ the fundamental groupoid. In this paper we prove that for good topological spaces the assignments $U\\mapsto\\pi_0(U)$ and $U\\mapsto\\Pi_1(U)$ are the terminal cosheaf and costack respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-17T16:41:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M99"
    ],
    "keywords": [
      "fundamental groupoid",
      "terminal costack",
      "topological space",
      "terminal cosheaf"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.4419P"
    }
  }
}