{
  "id": "0907.0491",
  "version": "v2",
  "published": "2009-07-02T21:31:49.000Z",
  "updated": "2011-01-13T03:38:16.000Z",
  "title": "Bockstein basis and resolution theorems in extension theory",
  "authors": [
    "Vera Tonić"
  ],
  "comment": "23 pages",
  "journal": "TOPOLOGY AND ITS APPLICATIONS 157 (2010) 674-691",
  "categories": [
    "math.GT",
    "math.AT",
    "math.GN"
  ],
  "abstract": "We prove a generalization of the Edwards-Walsh Resolution Theorem: Theorem: Let G be an abelian group for which $P_G$ equals the set of all primes $\\mathbb{P}$, where $P_G=\\{p \\in \\mathbb{P}: \\Z_{(p)}\\in$ Bockstein Basis $ \\sigma(G)\\}$. Let n in N and let K be a connected CW-complex with $\\pi_n(K)\\cong G$, $\\pi_k(K)\\cong 0$ for $0\\leq k< n$. Then for every compact metrizable space X with $X\\tau K$ (i.e., with $K$ an absolute extensor for $X$), there exists a compact metrizable space Z and a surjective map $\\pi: Z \\to X$ such that (a) $\\pi$ is cell-like, (b) $\\dim Z \\leq n$, and (c) $Z\\tau K$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-13T03:38:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55M10",
      "54F45",
      "55P20",
      "54C20"
    ],
    "keywords": [
      "bockstein basis",
      "extension theory",
      "compact metrizable space",
      "edwards-walsh resolution theorem",
      "abelian group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0491T"
    }
  }
}