Homology, Homotopy and Applications

Volume 19 (2017)

Number 1

The decomposability of a smash product of $\mathbf{A}^2_n$-complexes

Pages: 293 – 318

DOI: https://dx.doi.org/10.4310/HHA.2017.v19.n1.a15

Authors

Zhongjian Zhu (School of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang, China)

Jianzhong Pan (Hua Loo-Keng Key Mathematical Laboratory, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China)

Abstract

In this paper, we determine the decomposability of the smash product of two indecomposable $\mathbf{A}^2_n$-complexes, i.e., $(n - 1)$-connected finite CW-complexes with dimension at most $n + 2 (n \geqslant 3)$.

Keywords

indecomposable, smash product, $\mathbf{A}^k_n$-complex, cofibre sequence

2010 Mathematics Subject Classification

55P10, 55P15

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Published 6 June 2017