Handle decompositions of simply-connected five-manifolds. III

Abstract

We prove the existence of the exact handle decomposition of a simply-connected smooth or PL 5-manifold with a standard simply-connected boundary of signature 0, the triviality of a 5-dimensional h-cobordism with ends of such type and the uniqueness, up to diffeomorphism (PL-isomorphism), of a smooth (or PL) h-cobordism between the given simply-connected 4-manifold and the corresponding standard manifold.