%0 Journal Article
%T Stable systolic category of the product of spheres
%A Hoil Ryu
%J Mathematics
%D 2010
%I arXiv
%X The stable systolic category of a closed manifold M indicates the complexity in the sense of volume. This is a homotopy invariant, even though it is defined by some relations between homological volumes on M. We show an equality of the stable systolic category and the real cup-length for the product of arbitrary finite dimensional real homology spheres. Also we prove the invariance of the stable systolic category under the rational equivalences for orientable 0-universal manifolds.
%U http://arxiv.org/abs/1007.2913v1