5 papers · 1 filter
A "Periodicity" Phenomenon of the Attaching Map of the Suspended Two-Cell Complex
Juxin Yang, Fengchun Lei, Jingyan Li +1
In this paper, we determine the 3-cell skeleton of , where is the homotopy fiber of the canonical pinch map from a suspension of a simply-connected 2-cell complex onto a sph…
On the extension problems for three 33-stem homotopy groups
Juxin Yang, Jie Wu
This paper tackles the extension problems for three far-unsatble homotopy groups , , and localized at 2, the puzzles having remained u…
On rectangular Toda brackets and Oda's extension problems
Juxin Yang, Jie Wu
This paper tackles \textit{N. Oda}'s extension problems for the homotopy groups , , and localized at 2, the issues having eluded resol…
On the generalized Jacobi Identity of Toda brackets
Juxin Yang
In this paper, we give the Jacobi identity of Toda brackets indexed by , (), this generalizes Toda's Jacobi identity of Toda brackets indexed by 0 shown in [T].
An Unstable Approach to the May-Lawrence Matrix Toda bracket and the \textit{2}nd James-Hopf Invariant
Juxin Yang, Toshiyuki Miyauchi, Juno Mukai
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,…