{
  "id": "1605.07093",
  "version": "v1",
  "published": "2016-05-23T17:04:30.000Z",
  "updated": "2016-05-23T17:04:30.000Z",
  "title": "Maps of Degree 1 and Lusternik--Schnirelmann Category",
  "authors": [
    "Yuli Rudyak"
  ],
  "comment": "5 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "Given a map $f: M \\to N$ of degree 1 of closed manifolds. Is it true that the Lusternik--Schnirelmann category of the range of the map is not more that the category of the domain? We discuss this and some related questions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-23T17:04:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M30"
    ],
    "keywords": [
      "lusternik-schnirelmann category",
      "closed manifolds",
      "related questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}