Regular homotopy classes of singular maps
| dc.creator | Juhasz, Andras | |
| dc.date | 2005-06-28 | |
| dc.date.accessioned | 2026-07-07T05:21:12Z | |
| dc.date.available | 2026-07-07T05:21:12Z | |
| dc.description | Two locally generic maps f,g : M^n --> R^{2n-1} are regularly homotopic if they lie in the same path-component of the space of locally generic maps. Our main result is that if n is not 3 and M^n is a closed n-manifold then the regular homotopy class of every locally generic map f : M^n --> R^{2n-1} is completely determined by the number of its singular points provided that f is singular (i.e., f is not an immersion). | |
| dc.description | 23 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0506566 | |
| dc.identifier | http://arxiv.org/abs/math/0506566 | |
| dc.identifier | Proc. London Math. Soc. (3) 90 (2005) 738-762 | |
| dc.identifier | doi:10.1112/S0024611504015102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75601 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R45 (Primary); 58K30; 57R42 (Secondary) | |
| dc.title | Regular homotopy classes of singular maps | |
| dc.type | text |