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math.AT2022
Unstable higher Toda brackets III
Hideaki Oshima, Katsumi Oshima
We define inductively unstable n-fold Toda brackets for every n>2 in the category of spaces with base points, and then define stable ones.
math.AT2021
The generalized Hopf invariant and four-fold Toda brackets
Hideaki Oshima, Katsumi Oshima
We give two formulas for the generalized Hopf invariant and 4-fold Toda brackets which are useful in computations of homotopy groups of spheres.
math.AT2007
Homotopy groups of the spaces of self-maps of Lie groups
Ken-ichi Maruyama, Hideaki Oshima
We compute the homotopy groups of the spaces of self maps of Lie groups of rank 2, SU(3), Sp(2), and G_2. We use the cell structures of these Lie groups and the standard methods of…