%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