On the minimal number of critical points of functions on h-cobordisms
| dc.creator | Pushkar, P. E. | |
| dc.creator | Rudyak, Yu. B. | |
| dc.date | 2001-08-16 | |
| dc.date.accessioned | 2026-07-07T04:43:00Z | |
| dc.date.available | 2026-07-07T04:43:00Z | |
| dc.description | Let (W,M,M'), dim W > 5, be a non-trivial h-cobordism (i.e., the Whitehead torsion of (W,V) is non-zero). We prove that every smooth function f: W --> [0,1], f(M)=0, f(M')=1 has at least 2 critical points. This estimate is sharp: W possesses a function as above with precisely two critical points. | |
| dc.description | 7 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0108115 | |
| dc.identifier | http://arxiv.org/abs/math/0108115 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62032 | |
| dc.subject | Geometric Topology | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 57R80 (Primary) 19J10 57R10 (Secondary) | |
| dc.title | On the minimal number of critical points of functions on h-cobordisms | |
| dc.type | text |