{
  "id": "math/0602480",
  "version": "v2",
  "published": "2006-02-21T23:53:45.000Z",
  "updated": "2006-08-11T15:15:24.000Z",
  "title": "The E_2-term of the descent spectral sequence for continuous G-spectra",
  "authors": [
    "Daniel G. Davis"
  ],
  "comment": "8 pages. Main result simplified. Expository Section 3 added. Error in Definition 2.1 is repaired. Same as published version, except for changes required by journal's style file",
  "journal": "New York J. of Math. 12 (2006), 183-191",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let {X_i} be a tower of discrete G-spectra, each of which is fibrant as a spectrum, so that X=holim_i X_i is a continuous G-spectrum, with homotopy fixed point spectrum X^{hG}. The E_2-term of the descent spectral sequence for \\pi_*(X^{hG}) cannot always be expressed as continuous cohomology. However, we show that the E_2-term is always built out of a certain complex of spectra, that, in the context of abelian groups, is used to compute the continuous cochain cohomology of G with coefficients in lim_i M_i, where {M_i} is a tower of discrete G-modules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-11T15:15:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55T05"
    ],
    "keywords": [
      "descent spectral sequence",
      "continuous g-spectrum",
      "homotopy fixed point spectrum",
      "discrete g-spectra",
      "continuous cochain cohomology"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2480D"
    }
  }
}