{
  "id": "1501.07446",
  "version": "v1",
  "published": "2015-01-29T13:19:57.000Z",
  "updated": "2015-01-29T13:19:57.000Z",
  "title": "Survey on approximating L^2-invariants by their classical counterparts: Betti numbers, torsion invariants and homological growth",
  "authors": [
    "Wolfgang Lueck"
  ],
  "comment": "63 pages Comment are very wellcome",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we discuss open problems concerning L^2-invariants focusing on approximation by towers of finite coverings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-29T13:19:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "59Q99",
      "22D25",
      "46L99",
      "58J52"
    ],
    "keywords": [
      "betti numbers",
      "torsion invariants",
      "homological growth",
      "classical counterparts",
      "approximating"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150107446L"
    }
  }
}