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

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概要

• 論文の詳細を見る

• 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.

• 広島大学の論文

著者

• Mukai Juno

  Department Of Mathematical Sciences Faculty Of Science Shinshu University

• Mukai Juno

  Department Ofmathematical Sciences Faculty Of Science Shinshu University

• Inoue Tomohisa

  Graduate School Of Science And Technology Shinshu University

• Inoue Tomohisa

  Graduate School of Science and Technology, Shinshu University

関連論文

• 21-st and 22-nd homotopy groups of the n-th rotation group
• Lifting to the suspension of the real projective plane
• GROUPS OF SELF-EQUIVALENCES OF SUSPENDED REAL PROJECTIVE SPACES
• Homotopy classification of twisted complex projective spaces of dimension 4
• The Element \bar{kappa} is not in the Image of the S¹-Transfer
• A note on the Hopf homomorphism of a Toda bracket and its applications
• On stable homotopy of the complex projective space
• On the Stable Homotopy of the Real Projective Space of Even Low Dimension : Dedicated to Professor Itiro Tamura on his 60th birthday
• The Order of the Attaching Class in the Suspended Quaternionic Quasi-Projective Space : Dedicated to Professor Minoru on his 60th birthday
• A note on the Kahn-Priddy map
• A remark on Toda's result about the suspension order of the stunted real projective space
• Correction to "On stable homotopy of complex projective space"
• A note on the quaternionic quasi-projective space

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