{
  "id": "0812.2899",
  "version": "v3",
  "published": "2008-12-15T20:34:30.000Z",
  "updated": "2009-01-04T03:19:32.000Z",
  "title": "Parametric Bing and Krasinkiewicz maps: revisited",
  "authors": [
    "Vesko Valov"
  ],
  "comment": "12 pages",
  "categories": [
    "math.GN",
    "math.GT"
  ],
  "abstract": "Let $M$ be a complete metric $ANR$-space such that for any metric compactum $K$ the function space $C(K,M)$ contains a dense set of Bing (resp., Krasinkiewicz) maps. It is shown that $M$ has the following property: If $f\\colon X\\to Y$ is a perfect surjection between metric spaces, then $C(X,M)$ with the source limitation topology contains a dense $G_\\delta$-subset of maps $g$ such that all restrictions $g|f^{-1}(y)$, $y\\in Y$, are Bing (resp., Krasinkiewicz) maps. We apply the above result to establish some mapping theorems for extensional dimension.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-04T03:19:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54F15",
      "54F45",
      "54E40"
    ],
    "keywords": [
      "krasinkiewicz maps",
      "parametric bing",
      "source limitation topology contains",
      "complete metric",
      "dense set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2899V"
    }
  }
}