{
  "id": "1409.3475",
  "version": "v1",
  "published": "2014-09-11T15:28:29.000Z",
  "updated": "2014-09-11T15:28:29.000Z",
  "title": "Piecewise straightening and Lipschitz simplicial volume",
  "authors": [
    "Karol Strzałkowski"
  ],
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We study the Lipschitz simplicial volume, which is a metric version of the simplicial volume. We introduce the piecewise straightening procedure for singular chains, which allows us to generalize the proportionality principle and the product inequality to the case of complete Riemannian manifolds of finite volume with sectional curvature bounded from above.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-11T15:28:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23"
    ],
    "keywords": [
      "lipschitz simplicial volume",
      "piecewise straightening",
      "complete riemannian manifolds",
      "metric version",
      "proportionality principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.3475S"
    }
  }
}