Geodesic
Stable systolic category of the product of spheres
Ryu, Hoil1
1Graduate School of Mathematics, Kyushu University, 774, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan
Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 983-999
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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.

DOI : 10.2140/agt.2011.11.983
Keywords: cup-length, systoles, stable systolic category

Ryu, Hoil  1

1 Graduate School of Mathematics, Kyushu University, 774, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan 
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Ryu, Hoil. Stable systolic category of the product of spheres. Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 983-999. doi: 10.2140/agt.2011.11.983

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