  We examine conditions under which projective limits of topological spaces are
preserved by the continuous valuation functor $\mathbf V$ and its
subprobability and probability variants (used to represent probabilistic
choice), by the Smyth hyperspace functor (demonic non-deterministic choice), by
the Hoare hyperspace functor (angelic non-deterministic choice), by Heckmann's
$\mathbf A$-valuation functor, by the quasi-lens functor, by the Plotkin
hyperspace functor (erratic non-deterministic choice), and by prevision
functors and powercone functors that implement mixtures of probabilistic and
non-deterministic choice.
