{
  "id": "math/0306079",
  "version": "v2",
  "published": "2003-06-04T13:26:03.000Z",
  "updated": "2003-07-24T12:33:25.000Z",
  "title": "(Co)homology of crossed modules with coefficients in a $π_1$-module",
  "authors": [
    "Simona Paoli"
  ],
  "comment": "32 pages, LaTeX2e, Paul Taylor's diagram package; added reference. Accepted for publication by Homology, Homotopy and Applications",
  "categories": [
    "math.AT",
    "math.CT"
  ],
  "abstract": "We define a cotriple (co)homology of crossed modules with coefficients in a $\\pi_1$-module. We prove its general properties, including the connection with the existing cotriple theories on crossed modules. We establish the relationship with the (co)homology of the classifying space of a crossed module and with the cohomology of groups with operators. An example and an application are given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-07-24T12:33:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G50",
      "18G30"
    ],
    "keywords": [
      "crossed module",
      "coefficients",
      "general properties",
      "existing cotriple theories",
      "connection"
    ],
    "tags": [
      "research tool"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6079P"
    }
  }
}