Closed manifolds are closed ANR-homology manifolds (Ex)

Show that any closed manifold is a closed $\mathrm{ANR}$$<wikitex>; Show that any closed manifold is a closed $\mathrm{ANR}$-homology manifold. </wikitex> [[Category:Exercises]] [[Category:Exercises without solution]]\mathrm{ANR}$-homology manifold.