  We study the quantization of geometry in the presence of a cosmological
constant, using a discretiza- tion with constant-curvature simplices. Phase
space turns out to be compact and the Hilbert space finite dimensional for each
link. Not only the intrinsic, but also the extrinsic geometry turns out to be
discrete, pointing to discreetness of time, in addition to space. We work in
2+1 dimensions, but these results may be relevant also for the physical 3+1
case.
