Suspension splittings of 5-dimensional Poincaré duality complexes and their applications

Steven Amelotte, Tyrone Cutler, Tseleung So

Let $X$ be a connected, orientable, 5-dimensional Poincaré duality complex with torsion-free $H_1(X;\mathbb{Z})$. We show that $\Sigma X$ is homotopy equivalent to a wedge of recognisabl…