Classical and Quantum Chaos in Robertson-Walker Cosmologies

An elementary review of my work on the physical impact of the topological structure of space-time is given. An account on classical chaos in an open, multiply connected universe is presented. The uniformity of the galactic background is related to the erratic behavior of the classical world lines around the chaotic nucleus of the universe. On the quantum level we discuss particle creation, backscattering, anisotropy in the microwave background, parity violation and how all this relates to the multiple connectivity of the open spacelike slices.