Lusternik-Schnirelmann category of a sphere-bundle over a sphere
| dc.creator | Iwase, Norio | |
| dc.date | 2002-02-13 | |
| dc.date.accessioned | 2026-07-07T04:46:26Z | |
| dc.date.available | 2026-07-07T04:46:26Z | |
| dc.description | A criterion to determine the L-S category of a total space of a sphere-bundle over a sphere is given in terms of homotopy invariants of its characteristic map, and thus providing a complete answer to Ganea's Problem 4. As a result, we obtain a necessary and sufficient condition for such a total space $N$ to have the same L-S category as its `once punctured submanifold' $N\smallsetminus\{P\}$, $P \in N$. Also a necessary condition for such a total space $M$ to satisfy Ganea's conjecture is obtained. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0202120 | |
| dc.identifier | http://arxiv.org/abs/math/0202120 | |
| dc.identifier | Topology, 42 (2003), 701--713 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63329 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55M30; 55P35, 55Q25, 55R35, 55S36 | |
| dc.title | Lusternik-Schnirelmann category of a sphere-bundle over a sphere | |
| dc.type | text |