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

Zhongjian Zhu; Jianzhong Pan

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

Algebraic Topology 2023-10-31 v2

Authors: Zhongjian Zhu , Jianzhong Pan

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 $X\cup CA\rightarrow \Sigma A$ .

Keywords

homotopy groups

Cite

@article{arxiv.2302.05591,
  title  = {2-local unstable homotopy groups of indecomposable $\mathbf{A}_3^2$ -complexes},
  author = {Zhongjian Zhu and Jianzhong Pan},
  journal= {arXiv preprint arXiv:2302.05591},
  year   = {2023}
}

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