{
  "id": "math/0702677",
  "version": "v1",
  "published": "2007-02-22T21:57:53.000Z",
  "updated": "2007-02-22T21:57:53.000Z",
  "title": "A new higher homotopy groupoid: the fundamental globular omega-groupoid of a filtered space",
  "authors": [
    "Ronald Brown"
  ],
  "comment": "18 pages. 2 eps files",
  "journal": "Homotopy, Homology and Applications, 10 (2008), No. 1, pp.327-343",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We use the n-globe with its skeletal filtration to define the fundamental globular omega--groupoid of a filtered space; the proofs use an analogous fundamental cubical omega--groupoid due to the author and Philip Higgins. This method also relates the construction to the fundamental crossed complex of a filtered space, and this relation allows the proof that the crossed complex associated to the free globular omega-groupoid on one element of dimension n is the fundamental crossed complex of the n-globe.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-22T21:57:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18D10",
      "18G30",
      "18G50",
      "20L05",
      "55N10",
      "55N25"
    ],
    "keywords": [
      "fundamental globular omega-groupoid",
      "higher homotopy groupoid",
      "filtered space",
      "fundamental crossed complex",
      "free globular omega-groupoid"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2677B"
    }
  }
}