On $(n-2)$-connected $2n$-dimensional Poincaré complexes with torsion-free homology

Xueqi Wang

Let $X$ be an $(n-2)$-connected $2n$-dimensional Poincaré complex with torsion-free homology, where $n\ge 4$. We prove that $X$ can be decomposed into a connected sum of two Poin…