Zhongjian Zhu

collaborators

3 papers

math.AT2024

The unstable homotopy groups of 2-cell complexes

Zhongjian Zhu

In this paper, we develop the new method, initiated by B. Gray (1972), to compute the unstable homotopy groups of the mapping cone, especially for $2$ -cell complex $X=S^m\cup_α e^{…

math.AT2024

The $n + 3$ , $n + 4$ dimensional homotopy groups of $A_{n}^{2}$ -complexes

Tian Jin, Zhongjian Zhu

In this paper, we calculate the $n + 3$ , $n + 4$ dimensional homotopy groups of indecomposable $A_{n}^{2}$ -complexes after localization at 2. This job is seen as a sequel to P.J.…

math.AT2024

The relative James construction and its application to homotopy groups

Zhongjian Zhu, Tian Jin

In this paper, we develop the new method to compute the homotopy groups of the mapping cone $C_{f} = Y \cup_{f} C X$ beyond the metastable range by analysing the homotopy of the $n$ -th fi…

The unstable homotopy groups of 2-cell complexes

The n+3, n+4 dimensional homotopy groups of An2​-complexes

The relative James construction and its application to homotopy groups

The $n + 3$ , $n + 4$ dimensional homotopy groups of $A_{n}^{2}$ -complexes