TOPOLOGY IN 4D SIMPLICIAL QUANTUM-GRAVITY

We simulate 4d simplicial gravity for three topologies S-4, S-3 X S-1 and S-1 X S-1 X S-1 X S-1 and show that the free energy for these thre e fixed topology ensembles is the same in the thermodynamic limit N-4 --> infinity. We show, that the next-to-leading order corrections, at least away from the critical point, can be described by kinematic sour ces.