{
  "id": "math/0410368",
  "version": "v1",
  "published": "2004-10-16T19:10:05.000Z",
  "updated": "2004-10-16T19:10:05.000Z",
  "title": "Universal acyclic resolutions for arbitrary coefficient groups",
  "authors": [
    "Michael Levin"
  ],
  "journal": "Fund. Math. 178 (2003), no. 2, 159--169",
  "categories": [
    "math.GT",
    "math.GN"
  ],
  "abstract": "We prove that for every compactum $X$ and every integer $n \\geq 2$ there are a compactum $Z$ of $\\dim \\leq n+1$ and a surjective $UV^{n-1}$-map $r: Z \\lo X$ such that for every abelian group $G$ and every integer $k \\geq 2$ such that $\\dim_G X \\leq k \\leq n$ we have $\\dim_G Z \\leq k$ and $r$ is $G$-acyclic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-10-16T19:10:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M10",
      "54F45"
    ],
    "keywords": [
      "universal acyclic resolutions",
      "arbitrary coefficient groups",
      "abelian group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....10368L"
    }
  }
}