Algebraic & Geometric Topology 11 (2011) 983–999

DOI: 10.2140/agt.2011.11.983

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.

Keywords

cup-length, systoles, stable systolic category

Mathematical Subject Classification

Primary: 57N65

Secondary: 53C23, 55M30

References

Publication

Received: 17 July 2010
Revised: 27 October 2010
Accepted: 23 December 2010
Published: 25 March 2011

Authors