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arXiv · 2302.05591

2-local unstable homotopy groups of indecomposable $\mathbf{A}_3^2$ -complexes

Zhongjian Zhu·Jianzhong Pan
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Abstract

In this paper, we calculate the 2-local unstable homotopy groups of indecomposable $\mathbf{A}_3^2$-complexes. The main technique used is analysing the homotopy property of $J(X,A)$, defined by B. Gray for a CW-pair $(X,A)$, which is homotopy equivalent to the homotopy fibre of the pinch map $X\cup CA\rightarrow \Sigma A$.

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Zhongjian Zhu, Jianzhong Pan. 2023-02-11. 2-local unstable homotopy groups of indecomposable $\mathbf{A}_3^2$ -complexes. https://arxiv.org/abs/2302.05591

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