%0 Journal Article %T Volume and homology growth of aspherical manifolds %A Roman Sauer %J Mathematics %D 2014 %I arXiv %X We provide upper bounds on the size of the homology of a closed aspherical Riemannian manifold that only depend on the systole and the volume of balls. Further, we show that linear growth of mod p Betti numbers or exponential growth of torsion homology imply that a closed aspherical manifold is "large". %U http://arxiv.org/abs/1403.7319v4