The decomposability of smash product of A_n^2-complexes
Zhongjian Zhu, Jianzhong Pan
TL;DR
This paper investigates when the smash product of two specific high-connectivity, low-dimensional CW-complexes can be decomposed into simpler components, advancing understanding of their algebraic topology.
Contribution
It provides a classification of the decomposability of smash products of indecomposable A_n^2-complexes for n ≥ 3.
Findings
Identifies conditions for decomposability of the smash product
Classifies indecomposable A_n^2-complexes based on their smash products
Advances the theory of CW-complex decompositions
Abstract
In this paper, we determine the decomposability of smash product of two indecomposable A_n^2-complexes, i.e., (n-1)-connected finite CW-complexes with dimension at most n+2 (n\geq 3).
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models