A topological 4-sphere that is standard

We show that a topological 4-sphere described by the author in [9] is diffeomorphic to the standard differentiable 4-sphere. The topological 4-sphere arose in a geometric setting, constructed from a noncompact hyperbolic 4-manifold through Dehn filling on all of its five ends. The proof is based on a method, consisting of a standard dualization of cells and presented here, for obtaining a handle decomposition of an n-manifold if the manifold is given by isometric side-pairings of a polyhedron in E-n, S-n or H-n.