{
  "id": "0802.0108",
  "version": "v2",
  "published": "2008-02-01T12:43:58.000Z",
  "updated": "2008-03-19T15:55:33.000Z",
  "title": "Properties of cellular classes of chain complexes",
  "authors": [
    "Jonas Kiessling"
  ],
  "comment": "16 pages, references added, corrected typos",
  "categories": [
    "math.AT",
    "math.AC"
  ],
  "abstract": "In this paper we prove certain properties of cellular and acyclic classes of chain complexes of modules over a commutative Noetherian ring. In particular we show that if X is finite and belongs to some cellular class C then \\Sigma^n H_X also belongs to C, for every n.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-03-19T15:55:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U99",
      "18G99"
    ],
    "keywords": [
      "chain complexes",
      "cellular classes",
      "properties",
      "acyclic classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.0108K"
    }
  }
}