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2011 Stable systolic category of the product of spheres
Hoil Ryu
Algebr. Geom. Topol. 11(2): 983-999 (2011). 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.

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Hoil Ryu. "Stable systolic category of the product of spheres." Algebr. Geom. Topol. 11 (2) 983 - 999, 2011. https://doi.org/10.2140/agt.2011.11.983

Information

Received: 17 July 2010; Revised: 27 October 2010; Accepted: 23 December 2010; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1214.57023
MathSciNet: MR2782550
Digital Object Identifier: 10.2140/agt.2011.11.983

Subjects:
Primary: 57N65
Secondary: 53C23, 55M30

Rights: Copyright © 2011 Mathematical Sciences Publishers

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Vol.11 • No. 2 • 2011
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