  The purpose of this note is to show that classical cobordism arguments, which
go back to the pioneering works of Mandelbaum and Moishezon, provide quick and
unified proofs of any knot surgered compact simply-connected 4-manifold X_K
becoming diffeomorphic to X after a single stabilization by connected summing
with S^2 x S^2 or CP^2 # -CP^2, and almost complete decomposability of X_K for
many almost completely decomposable X, such as the elliptic surfaces.
