{
  "id": "math/0501513",
  "version": "v1",
  "published": "2005-01-28T17:18:34.000Z",
  "updated": "2005-01-28T17:18:34.000Z",
  "title": "Loop structures on the homotopy type of S^3 revisited",
  "authors": [
    "Donald Yau"
  ],
  "comment": "To appear in Michigan Math. J",
  "journal": "Michigan Mathematical Journal 53 (2005), 283-290",
  "categories": [
    "math.AT"
  ],
  "abstract": "We observe that the Rector invariants classifying the genus of BS^3 show up in (orthogonal and unitary) K-theory. We then use this knowledge to show purely algebraically how the K-theory of the spaces in the genus of BS^3 differ. This provides new insights into a result of Notbohm in the case of BS^3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-28T17:18:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P15",
      "55N15",
      "55P60"
    ],
    "keywords": [
      "homotopy type",
      "loop structures",
      "orthogonal",
      "rector invariants classifying"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1513Y"
    }
  }
}