{
  "id": "math/0312269",
  "version": "v1",
  "published": "2003-12-12T21:55:14.000Z",
  "updated": "2003-12-12T21:55:14.000Z",
  "title": "On two problems in extension theory",
  "authors": [
    "A. V. Karasev"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this note we introduce the concept of a quasi-finite complex. Next, we show that for a given countable and locally finite CW complex L the following conditions are equivalent: (i) L is quasi-finite. (ii) There exists a [L]-invertible mapping of a metrizable compactum X with e-dim X = [L] onto the Hilbert cube. Finally, we construct an example of a quasi-finite complex L such that its extension type [L] does not contain a finitely dominated complex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-12T21:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M10",
      "54F45"
    ],
    "keywords": [
      "extension theory",
      "quasi-finite complex",
      "locally finite cw complex",
      "extension type",
      "hilbert cube"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12269K"
    }
  }
}