{
  "id": "1205.0216",
  "version": "v1",
  "published": "2012-05-01T17:08:42.000Z",
  "updated": "2012-05-01T17:08:42.000Z",
  "title": "On Lusternik-Schnirelmann Category of Connected Sums",
  "authors": [
    "Robert Newton"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "In this paper we estimate the Lusternik-Schnirelmann category of the connected sum of two manifolds through their categories. We achieve a more general result regarding the category of a quotient space X/A where A is a suitable subspace of X.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-01T17:08:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M02",
      "57M02"
    ],
    "keywords": [
      "lusternik-schnirelmann category",
      "connected sum",
      "quotient space x/a",
      "general result regarding",
      "suitable subspace"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0216N"
    }
  }
}