{
  "id": "1206.2781",
  "version": "v3",
  "published": "2012-06-13T12:27:17.000Z",
  "updated": "2015-01-05T16:20:30.000Z",
  "title": "Representing Bredon cohomology with local coefficients",
  "authors": [
    "Samik Basu",
    "Debasis Sen"
  ],
  "comment": "29 pages, Accepted version JPAA",
  "categories": [
    "math.AT"
  ],
  "abstract": "For a discrete group G, we represent the Bredon cohomology with local coefficients as the homotopy classes of maps in the category of equivaraint crossed complexes. Subsequently, we construct a naive parametrized G-spectrum, such that the cohomology theory defined by it reduces to the Bredon cohomology with local coefficients when restricted to suspension spectra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-23T18:01:07.000Z",
      "abstract": "For a discrete group G, we represent the Bredon cohomology with local coefficients as the homotopy classes of maps in the category of equivaraint crossed complexes. Subsequently, we construct a naive parametrized G-spectrum, such that the cohomology theory defined by it reduces to the Bredon cohomology with local coefficients when restricted to suspension spectra of spaces.",
      "comment": "28 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-01-05T16:20:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N25",
      "55N91",
      "55P42",
      "55P91",
      "55Q91",
      "55T99"
    ],
    "keywords": [
      "local coefficients",
      "representing bredon cohomology",
      "homotopy classes",
      "suspension spectra",
      "equivaraint crossed complexes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.2781B"
    }
  }
}