  In answering questions from arXiv:0901.2337v1 we prove a triangulation result
that is of independent interest. In more detail, let R be an o-minimal field
with a proper convex subring V, and let st: V \to k be the corresponding
standard part map. Under a mild assumption on (R,V) we show that definable
subsets X of V^n admit a triangulation that induces a triangulation of its
standard part st(X).
