%0 Journal Article
%T Growth of Betti Numbers
%A Bryan Clair
%A Kevin Whyte
%J Mathematics
%D 2001
%I arXiv
%X Suppose X is any finite complex with vanishing L^2 Betti number. We prove upper bounds on the Betti numbers for regular coverings of X, sublinear in the order of covering. The bounds are sensitive to the Novikov-Shubin invariants of X, and are improved in the presence of a spectral gap.
%U http://arxiv.org/abs/math/0111120v1