Stable Systolic Category of Manifolds and the Cup-length
Algebraic Topology
2009-07-22 v2 Differential Geometry
Abstract
It follows from a theorem of Gromov that the stable systolic category of a closed manifold is bounded from below by the rational cup-length of the manifold. In the paper we study the inequality in the opposite direction. In particular, combining our results with Gromov's theorem, we prove the equality of stable systolic category and rational cup-length for simply connected manifolds of dimension less than 8.
Keywords
Cite
@article{arxiv.0812.4637,
title = {Stable Systolic Category of Manifolds and the Cup-length},
author = {Alexander N. Dranishnikov and Yuli B. Rudyak},
journal= {arXiv preprint arXiv:0812.4637},
year = {2009}
}
Comments
LATEX, 15 pages, corrections