  A quasitoric manifold is a smooth manifold with a locally standard torus
action for which the orbit space is identified with a simple polytope. For a
class of topological spaces, the class is called strongly cohomologically rigid
if any isomorphism of cohomology rings can be realized as a homeomorphism. This
paper shows the strong cohomological rigidity of the class of quasitoric
manifolds over $I^3$.
