%0 Journal Article %T On topological restrictions of the spacetime in cosmology %A T. Asselmeyer-Maluga %A J. Krol %J Physics %D 2012 %I arXiv %R 10.1142/S0217732312501350 %X In 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. %U http://arxiv.org/abs/1206.4796v1