{
  "id": "0803.0665",
  "version": "v2",
  "published": "2008-03-05T14:00:18.000Z",
  "updated": "2008-07-21T09:57:38.000Z",
  "title": "Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$",
  "authors": [
    "Louis Funar",
    "Cornel Pintea",
    "Ping Zhang"
  ],
  "comment": "9p",
  "categories": [
    "math.GT"
  ],
  "abstract": "We consider manifolds $M^{2n}$ which admit smooth maps into a connected sum of $S^1\\times S^n$ with only finitely many critical points, for $n\\in\\{2,4,8\\}$, and compute the minimal number of critical points.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-21T09:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "55R55",
      "58K05",
      "57R60",
      "57R70"
    ],
    "keywords": [
      "critical points",
      "dimensions",
      "admit smooth maps",
      "minimal number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.0665F"
    }
  }
}