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arXiv · 1007.2913

Stable systolic category of the product of spheres

Hoil Ryu
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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.

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Hoil Ryu. 2010-07-17. Stable systolic category of the product of spheres. https://doi.org/10.2140/agt.2011.11.983

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