{
  "id": "2105.05223",
  "version": "v2",
  "published": "2021-05-11T17:39:24.000Z",
  "updated": "2021-05-19T14:16:24.000Z",
  "title": "Bounded cohomology of classifying spaces for families of subgroups",
  "authors": [
    "Kevin Li"
  ],
  "comment": "v2: 20 pages, added Theorem 4.5, incorporated Section 6 into Section 4",
  "categories": [
    "math.GR",
    "math.AT"
  ],
  "abstract": "We introduce a bounded version of Bredon cohomology for groups relative to a family of subgroups. Our theory generalizes bounded cohomology and differs from Mineyev--Yaman's relative bounded cohomology for pairs. We obtain cohomological characterizations of relative amenability and relative hyperbolicity, analogous to the results of Johnson and Mineyev for bounded cohomology.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-05-19T14:16:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N35",
      "20J06",
      "43A07",
      "20F67"
    ],
    "keywords": [
      "classifying spaces",
      "theory generalizes bounded cohomology",
      "mineyev-yamans relative bounded cohomology",
      "bredon cohomology",
      "bounded version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}