{
  "id": "math/9905156",
  "version": "v1",
  "published": "1999-05-25T19:31:25.000Z",
  "updated": "1999-05-25T19:31:25.000Z",
  "title": "A note on the localization of J-groups",
  "authors": [
    "Mohammad Obiedat"
  ],
  "comment": "15 pages, Latex2e, to appear in Hiroshima Math. J., 2 (1999)",
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "Let $\\widetilde{JO}(X)=\\widetilde{KO}(X)/TO(X)$ be the J-group of a connected finite CW complex X. We Obtain two computable formulas of $TO(X)_{(p)}$, the localization of $TO(X)$ at a prime p. Then we show how to use these two formulas of $TO(X)_{(p)}$ to find the J-orders of elements of $\\widetilde{KO}(CP^m)$, at least the 2 and 3 primary factors of the canonical generators of $\\widetilde{JO}(CP^m).$ Here $CP^m$ is the complex projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-25T19:31:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55Q50",
      "55R50"
    ],
    "keywords": [
      "localization",
      "connected finite cw complex",
      "complex projective space",
      "primary factors",
      "canonical generators"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......5156O"
    }
  }
}