  In this paper we extend certain central results of zero dimensional systems
to higher dimensions. The first main result shows that if (Y,f) is a finitely
presented system, then there exists a Smale space (X,F) and a u-resolving
factor map $\pi_+: X\to Y$. If the finitely presented system is transitive,
then we show there is a canonical minimal u-resolving Smale space extension.
Additionally, we show that any finite-to-one factor map between transitive
finitely presented systems lifts through u-resolving maps to an s-resolving
map.
