Stable systolic category of manifolds and the cup-length |
| |
Authors: | Alexander N Dranishnikov Yuli B Rudyak |
| |
Institution: | 1. Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL, 32611-8105, USA
|
| |
Abstract: | It follows from a theorem of Gromov that the stable systolic category catstsys M{\rm cat}_{\rm stsys} M of a closed manifold M is bounded from below by
cl\mathbbQ M{\rm cl}_{\mathbb{Q}} M, the rational cup-length of M Ka07]. We study the inequality in the opposite direction. In particular, combining our results with Gromov’s theorem, we
prove the equality
catstsys M = cl\mathbbQ M{\rm cat}_{\rm stsys} M = {\rm cl}_{\mathbb{Q}} M for simply connected manifolds of dimension ≤ 7. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|