{
  "id": "1909.12976",
  "version": "v1",
  "published": "2019-09-27T22:30:44.000Z",
  "updated": "2019-09-27T22:30:44.000Z",
  "title": "The Lusternik-Schnirelmann category of connected sum",
  "authors": [
    "Alexander Dranishnikov",
    "Rustam Sadykov"
  ],
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We use the Berstein-Hilton invariant to prove the formula $\\cat(M_1\\sharp M_2)=\\max\\{\\cat M_1, \\cat M_2\\}$ for the Lustrnik-Schnirelmann category of the connected sum of closed manifolds $M_1$ and $M_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-27T22:30:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "connected sum",
      "lusternik-schnirelmann category",
      "lustrnik-schnirelmann category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}