{
  "id": "1806.10153",
  "version": "v1",
  "published": "2018-06-26T18:01:39.000Z",
  "updated": "2018-06-26T18:01:39.000Z",
  "title": "Injective dimension of sheaves of rational vector spaces",
  "authors": [
    "Danny Sugrue"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "The Cantor-Bendixson rank of a topological space X is a measure of the complexity of the topology of X. The Cantor-Bendixson rank is most interesting when the space is profinite: Hausdorff, compact and totally disconnected. We will see that the injective dimension of the Abelian category of sheaves of rational vector spaces over a profinite space is determined by the Cantor-Bendixson rank of the space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-26T18:01:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G20",
      "18F20",
      "18G10",
      "54B40",
      "55N30"
    ],
    "keywords": [
      "rational vector spaces",
      "injective dimension",
      "cantor-bendixson rank",
      "profinite space",
      "abelian category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}