Hoil Ryu

  1. Stable systolic category of the product of spheres.

    Authors: Hoil Ryu
    Subjects: Algebraic Topology
    Abstract

    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.

RSS-материал