  Causal Dynamical Triangulations (CDT) is a non-perturbative lattice approach
to quantum gravity where one assumes space-time foliation into spatial
hyper-surfaces of fixed topology. Most of the CDT results were obtained for the
spatial topology of the 3-sphere. It was shown that CDT has rich phase
structure, including the semiclassical phase consistent with Einstein's general
relativity. Some of the phase transitions were found to be second (or higher)
order which makes a possibility of taking continuum limit viable. Here we
present new results of changing the spatial topology to that of the 3-torus. We
argue that the topology change does not change the phase structure nor the
order of the phase transitions. Therefore CDT results seem to be universal
independent of the topology chosen.
