{
  "id": "math/0405212",
  "version": "v1",
  "published": "2004-05-12T18:47:06.000Z",
  "updated": "2004-05-12T18:47:06.000Z",
  "title": "Absolute extensors in extension theory",
  "authors": [
    "Alex Karasev",
    "Vesko Valov"
  ],
  "categories": [
    "math.GT",
    "math.GN"
  ],
  "abstract": "Let L be a countable and locally finite CW complex. Suppose that the class of all metrizable compacta of extension dimension not greater than L contains a universal element which is an absolute extensor in dimension L. Our main result shows that L is quasi-finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-12T18:47:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "absolute extensor",
      "extension theory",
      "locally finite cw complex",
      "extension dimension",
      "universal element"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5212K"
    }
  }
}