Double suspension (Ex)

Let $M$$<wikitex>; Let $M$ be a compact homology $-sphere. Show that $\Sigma^2 M$ is a topological manifold. </wikitex> [[Category:Exercises]] [[Category:Exercises without solution]]M$ be a compact homology $3$$3$-sphere. Show that $\Sigma^2 M$$\Sigma^2 M$ is a topological manifold.