A note on the Hopf homomorphism of a Toda bracket and its applications
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- Inoue Tomohisa
- Graduate School of Science and Technology, Shinshu University
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- 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.
Journal
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- Hiroshima mathematical journal
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Hiroshima mathematical journal 33 (3), 379-389, 2003-11
Hiroshima University
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Details 詳細情報について
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- CRID
- 1573387451605185280
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- NII Article ID
- 110000016497
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- NII Book ID
- AA00664323
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- ISSN
- 00182079
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- Text Lang
- en
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- Data Source
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- CiNii Articles