{
  "id": "math/0202114",
  "version": "v4",
  "published": "2002-02-12T20:39:07.000Z",
  "updated": "2002-11-21T19:57:37.000Z",
  "title": "On Finite-Dimensional Maps II",
  "authors": [
    "H. Murat Tuncali",
    "Vesko Valov"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "Let $f\\colon X\\to Y$ be a perfect $n$-dimensional surjection of paracompact spaces with $Y$ being a $C$-space. We prove that, for any $m\\geq n+1$, almost all (in the sense of Baire category) maps $g$ from $X$ into the $m$-dimensional cube have the following property: $g(f^{-1}(y))$ is at most $n$-dimensional for every $y\\in Y$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2002-11-21T19:57:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F45",
      "55M10"
    ],
    "keywords": [
      "finite-dimensional maps",
      "paracompact spaces",
      "dimensional surjection",
      "baire category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2114M"
    }
  }
}