{
  "id": "math/0108115",
  "version": "v1",
  "published": "2001-08-16T18:43:00.000Z",
  "updated": "2001-08-16T18:43:00.000Z",
  "title": "On the minimal number of critical points of functions on h-cobordisms",
  "authors": [
    "P. E. Pushkar",
    "Yu. B. Rudyak"
  ],
  "comment": "7 pages, Latex",
  "categories": [
    "math.GT",
    "math.KT"
  ],
  "abstract": "Let (W,M,M'), dim W > 5, be a non-trivial h-cobordism (i.e., the Whitehead torsion of (W,V) is non-zero). We prove that every smooth function f: W --> [0,1], f(M)=0, f(M')=1 has at least 2 critical points. This estimate is sharp: W possesses a function as above with precisely two critical points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-08-16T18:43:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R80",
      "19J10",
      "57R10"
    ],
    "keywords": [
      "critical points",
      "minimal number",
      "whitehead torsion",
      "smooth function"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8115P"
    }
  }
}