Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Mukai, Juno"'
In this paper, we give an unstable approach of the May-Lawrence matrix Toda bracket, which becomes a useful tool for the theory of determinations of unstable homotopy groups. Then, we give a generalization of the classical isomorphisms between homoto
Externí odkaz:
http://arxiv.org/abs/2310.18014
In this paper, we determined the $2,3$-components of the homotopy groups $\pi _{r+k}(\Sigma ^{k}\mathbb{H}P^{2})$ for all $ 7\leq r\leq15$ and all $\;k\geq0$, especially for the unstable ones. And we gave the applications, including the classificatio
Externí odkaz:
http://arxiv.org/abs/2301.06776
Publikováno v:
In Topology and its Applications 1 October 2024 355
We denote by $\pi_k(R_n)$ the $k$-th homotopy group of the $n$-th rotation group $R_n$ and $\pi_k(R_n:2)$ the 2-primary components of it. We determine the group structures of $\pi_k(R_n:2)$ for $k = 23$ and $24$ by use of the fibration $R_{n+1}\overs
Externí odkaz:
http://arxiv.org/abs/2107.00154
We determine the group strucure of the $23$-rd homotopy group $\pi_{23}(G_2 : 2)$, where $G_2$ is the Lie group of exceptional type, which hasn't been determined for $50$ years.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1705.00273
Autor:
Inoue, Tomohisa, Mukai, Juno
Group structures of the 2-primary components of the 31-stem homotopy groups of spheres were studied by Oda in 1979. There are, however, two incompletely determined groups. In this paper, our investigation with Toda's composition method gives structur
Externí odkaz:
http://arxiv.org/abs/1210.0995
Autor:
Miyauchi, Toshiyuki, Mukai, Juno
The main purpose of this note is to give a proof of the fact that the Toda brackets $<\bar{\nu},\sigma,\bar{\nu}>$ and $<\nu,\eta, \bar{\sigma}>$ are not trivial. This is an affirmative answer of the second author's Conjecture (Determination of the $
Externí odkaz:
http://arxiv.org/abs/1207.6170
Autor:
Golasinski, Marek, Mukai, Juno
By use of Siegel's method and the classical results of homotopy groups of spheres and Lie groups, we determine some Gottlieb groups of projective spaces or give the lower bounds of their orders. Furthermore, making use of the properties of Whitehead
Externí odkaz:
http://arxiv.org/abs/1001.4663
Autor:
Mukai, Juno
Publikováno v:
Geom. Topol. Monogr. 13 (2008) 355-383
The present paper gives a proof of the author's paper in the Proceeding of the International Conference on Homotopy Theory and Related Topics at Korea University (2005), 109--113, on the orders of Whitehead products of iota_n with alpha in pi^n_{n+k}
Externí odkaz:
http://arxiv.org/abs/0904.1006
Publikováno v:
In Topology and its Applications 1 July 2018 243:135-145