A cohomological lower bound for the transverse LS category of a foliated manifold
| dc.creator | Macías-Virgós, E. | |
| dc.date | 2008-12-25 | |
| dc.date.accessioned | 2026-07-07T12:22:48Z | |
| dc.date.available | 2026-07-07T12:22:48Z | |
| dc.description | Let $\mathcal{F}$ be a compact Hausdorff foliation on a compact manifold. Let ${E_2^{>0,\bullet}}=\oplus\{E_2^{p,q}\colon p>0,q\geq 0\}$ be the subalgebra of cohomology classes with positive transverse degree in the $E_2$ term of the spectral sequence of the foliation. We prove that the saturated transverse Lusternik-Schnirelmann category of $\mathcal{F}$ is bounded below by the length of the cup product in ${E_2^{>0,\bullet}}$. Other cohomological bounds are discussed. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0812.4626 | |
| dc.identifier | http://arxiv.org/abs/0812.4626 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213777 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 57R30 (Primary) 55M30, 55T99 (Secondary) | |
| dc.title | A cohomological lower bound for the transverse LS category of a foliated manifold | |
| dc.type | text |