{
  "id": "math/0504008",
  "version": "v2",
  "published": "2005-04-01T06:32:08.000Z",
  "updated": "2007-06-12T08:22:36.000Z",
  "title": "Bounding volume by systoles of 3-manifolds",
  "authors": [
    "Mikhail G. Katz",
    "Yuli B. Rudyak"
  ],
  "comment": "16 pages",
  "doi": "10.1112/jlms/jdm105",
  "categories": [
    "math.DG",
    "math.AT",
    "math.GT",
    "math.MG"
  ],
  "abstract": "We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole and the codimension 1 systole with coefficients in Z_2. As an application, we prove that Lusternik-Schnirelmann category and systolic category agree for non-orientable closed manifolds of dimension 3, extending our earlier result in the orientable case. Finally, we prove the homotopy invariance of systolic category.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-06-12T08:22:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23",
      "55M30",
      "57N65"
    ],
    "keywords": [
      "bounding volume",
      "systolic volume lower bound",
      "systolic category agree",
      "earlier result",
      "lusternik-schnirelmann category"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4008K"
    }
  }
}