On topological restrictions of the spacetime in cosmology [PDF]
T. Asselmeyer-Maluga, J. KrolIn this paper we discuss the restrictions of the spacetime for the standard model of cosmology by using results of the differential topology of 3- and 4-manifolds. The smoothness of the cosmic evolution is the strongest restriction. The Poincare model (dodecaeder model), the Picard horn and the 3-torus are ruled out by the restrictions but a sum of two Poincare spheres is allowed.View original: http://arxiv.org/abs/1206.4796
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