On the geometric simple connectivity of open manifolds
| dc.creator | Funar, Louis | |
| dc.creator | Gadgil, Siddhartha | |
| dc.date | 2000-06-01 | |
| dc.date | 2004-01-28 | |
| dc.date.accessioned | 2026-07-07T04:35:39Z | |
| dc.date.available | 2026-07-07T04:35:39Z | |
| dc.description | One proves that there exists an obstruction to an open simply connected $n$-manifold of dimension $n\geq 5$ being geometrically simply connected. In particular there exist uncountably many simply connected $n$-manifolds which are not w.g.s.c. One proves that for $n\neq 4$ an $n$-manifold proper homotopy equivalent to a w.g.s.c. polyhedron is w.g.s.c. (for $n=4$ it is only end compressible). We analyze further the case $n=4$ and Poénaru's conjecture. | |
| dc.description | 48 pages, one eps figure, to appear IMRN | |
| dc.identifier | https://arxiv.org/abs/math/0006003 | |
| dc.identifier | http://arxiv.org/abs/math/0006003 | |
| dc.identifier | I.M.R.N., no.24, 2004, 1193-1248. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59324 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R65, 57Q35, 57M35 | |
| dc.title | On the geometric simple connectivity of open manifolds | |
| dc.type | text |