{
  "id": "math/0111120",
  "version": "v1",
  "published": "2001-11-09T20:33:24.000Z",
  "updated": "2001-11-09T20:33:24.000Z",
  "title": "Growth of Betti Numbers",
  "authors": [
    "Bryan Clair",
    "Kevin Whyte"
  ],
  "comment": "22 pages",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "Suppose X is any finite complex with vanishing L^2 Betti number. We prove upper bounds on the Betti numbers for regular coverings of X, sublinear in the order of covering. The bounds are sensitive to the Novikov-Shubin invariants of X, and are improved in the presence of a spectral gap.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-09T20:33:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M10"
    ],
    "keywords": [
      "betti number",
      "finite complex",
      "upper bounds",
      "regular coverings",
      "novikov-shubin invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11120C"
    }
  }
}