{
  "id": "1307.3031",
  "version": "v1",
  "published": "2013-07-11T09:38:53.000Z",
  "updated": "2013-07-11T09:38:53.000Z",
  "title": "A note on the characteristic rank and related numbers",
  "authors": [
    "L'udovít Balko",
    "Július Korbaš"
  ],
  "comment": "Accepted for publication in Mathematica Slovaca",
  "categories": [
    "math.AT",
    "math.CO",
    "math.DG",
    "math.NT"
  ],
  "abstract": "This note quantifies, via a sharp inequality, an interplay between (a) the characteristic rank of a vector bundle over a topological space X, (b) the Z/2Z-Betti numbers of X, and (c) sums of the numbers of certain partitions of integers. In a particular context, (c) is transformed into a sum of the readily calculable Betti numbers of the real Grassmann manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-11T09:38:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R20",
      "05A17"
    ],
    "keywords": [
      "characteristic rank",
      "related numbers",
      "real grassmann manifolds",
      "readily calculable betti numbers",
      "vector bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.3031B"
    }
  }
}