Ju-Xin Yang

activity

20232025

collaborators

6 papers

math.AT2025

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 $F$ , where $F$ is the homotopy fiber of the canonical pinch map from a suspension of a simply-connected 2-cell complex onto a sph…

math.AT2024

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 $π_{39} (S^{6})$ , $π_{40} (S^{7})$ , and $π_{41} (S^{8})$ localized at 2, the puzzles having remained u…

math.AT2024

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 $π_{39} (S^{6})$ , $π_{40} (S^{7})$ , and $π_{41} (S^{8})$ localized at 2, the issues having eluded resol…

math.AT2023

On the generalized Jacobi Identity of Toda brackets

Juxin Yang

In this paper, we give the Jacobi identity of Toda brackets indexed by $n$ , ( $n \geq 0$ ), this generalizes Toda's Jacobi identity of Toda brackets indexed by 0 shown in [T].

math.AT2023

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,…

math.AT2023

On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications

Juxin Yang, Juno Mukai, Jie Wu

In this paper, we determined the $2, 3$ -components of the homotopy groups $π_{r + k} (Σ^{k} H P^{2})$ for all $7 \leq r \leq 15$ and all $k \geq 0$ , especially for the unstable on…