A note on the Hopf homomorphism of a Toda bracket and its applications

  • Inoue Tomohisa
    Graduate School of Science and Technology, Shinshu University
  • Mukai Juno
    Department ofMathematical Sciences, Faculty of Science, Shinshu University

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Description

The purpose of the present note is to extend a formula between the Toda bracket andHopf homomorphism. As anapplication, we show that the generator of the $2$-primary component of the homotopy group$\pi_{12}(S^5)$ is @@S taken as arepresentative of a specific Toda bracket. And we shall give a short proof of the existenceof the unstable Adams map.

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Details 詳細情報について

  • CRID
    1573387451605185280
  • NII Article ID
    110000016497
  • NII Book ID
    AA00664323
  • ISSN
    00182079
  • Text Lang
    en
  • Data Source
    • CiNii Articles

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