{
  "id": "1101.4278",
  "version": "v1",
  "published": "2011-01-22T10:57:39.000Z",
  "updated": "2011-01-22T10:57:39.000Z",
  "title": "A note on homotopy types of connected components of Map(S^4,BSU(2))",
  "authors": [
    "Mitsunobu Tsutaya"
  ],
  "journal": "J. Pure Appl. Algebra 216 (4) (2012), 826-832",
  "doi": "10.1016/j.jpaa.2011.10.020",
  "categories": [
    "math.AT"
  ],
  "abstract": "Connected components of $\\Map(S^4,B\\SU(2))$ are the classifying spaces of gauge groups of principal $\\SU(2)$-bundles over $S^4$. Tsukuda [Tsu01] has investigated the homotopy types of connected components of $\\Map(S^4,B\\SU(2))$. But unfortunately, the proof of Lemma 2.4 in [Tsu01] is not correct for $p=2$. In this paper, we give a complete proof. Moreover, we investigate the further divisibility of $\\epsilon_i$ defined in [Tsu01]. In [Tsu], it is shown that divisibility of $\\epsilon_i$ have some information about $A_i$-equivalence types of the gauge groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-22T10:57:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "connected components",
      "homotopy types",
      "gauge groups",
      "equivalence types",
      "divisibility"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}