Topologically Induced Chaos in the Open Universe

An elementary account on chaos, its origins, and its physical impact in an infinite and multiply connected space-time is given. The anisotropy of the microwave background and the violation of the space-reflection symmetry (parity) by topological self-interference are reviewed in this context. Keywords: Robertson-Walker cosmology, relativistic chaos, chaotic nucleus, center of the Universe, CP violation, self-interference, background radiation, anisotropy, particle creation, hyperbolic manifold, deformation space, topology change, Kleinian group, limit set, mixing, shadowing.