{
  "id": "1911.10767",
  "version": "v1",
  "published": "2019-11-25T08:40:28.000Z",
  "updated": "2019-11-25T08:40:28.000Z",
  "title": "Embolic volume and Betti numbers",
  "authors": [
    "Lizhi Chen"
  ],
  "comment": "6 pages",
  "categories": [
    "math.DG",
    "math.GT"
  ],
  "abstract": "We show a new result of relating embolic volume of compact manifolds to Betti numbers. The result is an improvement to Durumeric's previous work. The proof is based on Gromov's method appeared in systolic geometry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-25T08:40:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C23",
      "53C20"
    ],
    "keywords": [
      "betti numbers",
      "relating embolic volume",
      "compact manifolds",
      "systolic geometry",
      "gromovs method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}