{
  "id": "2103.15614",
  "version": "v1",
  "published": "2021-03-29T13:47:56.000Z",
  "updated": "2021-03-29T13:47:56.000Z",
  "title": "Bounded cohomology and homotopy colimits",
  "authors": [
    "George Raptis"
  ],
  "comment": "14 pages",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We discuss an approach to the \\emph{covering} and \\emph{vanishing} theorems for the comparison map from bounded cohomology to singular cohomology, based on the observation that the comparison map is the coassembly map for bounded cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-29T13:47:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bounded cohomology",
      "homotopy colimits",
      "comparison map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}