Uniqueness of contractible coboundary (Ex)

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Let \Sigma be a homology 3-spheres. If \Sigma is the boundary of compact, contractible 4-manifolds \Omega_1 and \Omega_2 show there is a homeomorphism \Omega_1 \to \Omega_2 which is the identity on the boundary. (Hint: You may have to use the h-cobordism theorem for manifolds with boundary._

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