{
  "id": "1701.03903",
  "version": "v1",
  "published": "2017-01-14T11:23:09.000Z",
  "updated": "2017-01-14T11:23:09.000Z",
  "title": "Classification of metric spaces with infinite asymptotic dimension",
  "authors": [
    "Yan Wu",
    "Jingming Zhu"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we give a new version of transfinite asymptotic dimensions and prove some related properties. Besides, we give some examples to distinguish them. In particular, we obtain that Thompson group F equipped with the word-metric with respect to the infinite generating set does not have asymptotic property C.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-14T11:23:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite asymptotic dimension",
      "metric spaces",
      "classification",
      "transfinite asymptotic dimensions",
      "infinite generating set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}