Continuity of topological entropy for three-dimensional partially hyperbolic diffeomorphisms

Let $M$ be a three-dimensional manifold and let $f$ be a partially hyperbolic diffeomorphism of $M$, with stable, center, and unstable bundles. Three-dimensional continuity conjecture. The topological entropy depends continuously in the space of 3 dimensional partially hyperbolic diffeomorphisms. This is presented as an easier version of the one-dimensional-center conjecture because, in dimension three, the stable, center, and unstable bundles are automatically one-dimensional.