$\mathbb{Z}_n$-manifolds in 4-dimensional graph-manifolds
| dc.creator | Mozgova, Alexandra | |
| dc.date | 2005-04-12 | |
| dc.date.accessioned | 2026-07-07T05:19:03Z | |
| dc.date.available | 2026-07-07T05:19:03Z | |
| dc.description | A standard fact about two incompressible surfaces in an irreducible 3-manifold is that one can move one of them by isotopy so that their intersection becomes $π_1$-injective. By extending it on the maps of some 3-dimensional $\mathbb{Z}_n$-manifolds into 4-manifolds, we prove that any homotopy equivalence of 4-dimensional graph-manifolds with reduced graph-structures is homotopic to a diffeomorphism preserving the structures. Keywords: graph-manifold, $π_1$-injective $\mathbb{Z}_n$-submanifold. | |
| dc.description | 8 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/math/0504251 | |
| dc.identifier | http://arxiv.org/abs/math/0504251 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74877 | |
| dc.subject | Geometric Topology | |
| dc.title | $\mathbb{Z}_n$-manifolds in 4-dimensional graph-manifolds | |
| dc.type | text |