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# 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: http://dx.doi.org/10.4310/HHA.2017.v19.n1.a15

#### Authors

#### 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

Published 6 June 2017