Zhongjian Zhu

activity

20152025

collaborators

8 papers

math.AT2025

Homotopy classification of $S^{2 k - 1}$ -bundles over $S^{2 k}$

Zhongjian Zhu, Jianzhong Pan

In this paper, we classify the homotopy types of the total spaces of $S^{2 k - 1}$ -bundles (or fibrations) over $S^{2 k}$ for $2 \leq k \leq 6$ . One of the two key new ingredients in the…

math.AT2025

Complexes equivalent to $S^{2 k - 1}$ -fibrations over $S^{2 k}$

Zhongjian Zhu, Jianzhong Pan

In this paper, necessary and sufficient conditions are obtained for the attaching map $f$ of the top cell of a CW complex to have the homotopy type of the total space of $S^{2 k - 1}$ …

math.AT2023

Suspension Homotopy of $(n - 1)$ -connected $(2 n + 2)$ -dimensional Poincaré Duality Complexes

Pengcheng Li, Zhongjian Zhu

We study the homotopy decompositions of the suspension $Σ M$ of an $(n - 1)$ -connected $(2 n + 2)$ dimensional Poincaré duality complex $M$ , $n \geq 2$ . In particular, we completely deter…

math.AT2023

2-local unstable homotopy groups of indecomposable $A_{3}^{2}$ -complexes

Zhongjian Zhu, Jianzhong Pan

In this paper, we calculate the 2-local unstable homotopy groups of indecomposable $A_{3}^{2}$ -complexes. The main technique used is analysing the homotopy property of $J(X,A)…

math.AT2018

Classification of the congruence classes of $A_{n}^{5} (n \geq 6)$ with 2-torsion free homology

Zhongjian Zhu, Jianzhong Pan

In this paper, we classify the congruence classes of $F_{n (2)}^{5}$ -polyhedra, i.e. $(n - 1)$ -connected, at most $(n + 5)$ -dimensional polyhedra with 2-torsion free homology. Th…

math.AT2016

The decomposability of smash product of A_n^2-complexes

Zhongjian Zhu, Jianzhong Pan

In this paper, we determine the decomposability of smash product of two indecomposable A_n^2-complexes, i.e., (n-1)-connected finite CW-complexes with dimension at most n+2 (n\geq…

Homotopy classification of S2k−1-bundles over S2k

Complexes equivalent to S2k−1-fibrations over S2k

Suspension Homotopy of (n−1)-connected (2n+2)-dimensional Poincaré Duality Complexes

2-local unstable homotopy groups of indecomposable A32​ -complexes

Classification of the congruence classes of An5​(n≥6) with 2-torsion free homology

The decomposability of smash product of A_n^2-complexes

Homotopy classification of $S^{2 k - 1}$ -bundles over $S^{2 k}$

Complexes equivalent to $S^{2 k - 1}$ -fibrations over $S^{2 k}$

Suspension Homotopy of $(n - 1)$ -connected $(2 n + 2)$ -dimensional Poincaré Duality Complexes

2-local unstable homotopy groups of indecomposable $A_{3}^{2}$ -complexes

Classification of the congruence classes of $A_{n}^{5} (n \geq 6)$ with 2-torsion free homology