{
  "id": "2003.02584",
  "version": "v1",
  "published": "2020-03-05T12:57:33.000Z",
  "updated": "2020-03-05T12:57:33.000Z",
  "title": "Simplicial volume via normalised cycles",
  "authors": [
    "Clara Loeh",
    "Marco Moraschini"
  ],
  "comment": "4 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We show that the Connes-Consani semi-norm on singular homology with real coefficients, defined via s-modules, coincides with the ordinary $\\ell^1$-semi-norm on singular homology in all dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-05T12:57:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simplicial volume",
      "normalised cycles",
      "singular homology",
      "real coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}