Jianzhong Pan

works on

attaching maps 1 characteristic maps 1 cw complexes 1 fibrations 1 homotopy classification 1 sphere bundles 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.AT2026

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

Zhongjian Zhu, Jianzhong Pan

The paper classifies the homotopy types of total spaces of S^{2k‑1}‑bundles (or fibrations) over S^{2k} for 2 ≤ k ≤ 6, providing new criteria for when a CW complex is homotopy equi…

math.AT2026

Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations

Pengcheng Li, Jianzhong Pan, Jie Wu

This paper investigates stable cohomotopy groups in codimensions two and three from complementary algebraic and geometric viewpoints. For general CW complexes, we give a complete c…

math.AT2026

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 $S^{2 k - 1}$ …

Homotopy classification of S2k−1-bundles over S2k

Stable Cohomotopy in Codimensions Two and Three: From Algebraic Characterizations to Bordism-Theoretic Interpretations

Complexes equivalent to S2k−1-fibrations over S2k

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

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