Regular homotopy classes of locally generic mappings
| dc.creator | Juhasz, Andras | |
| dc.date | 2005-06-28 | |
| dc.date.accessioned | 2026-07-07T05:21:11Z | |
| dc.date.available | 2026-07-07T05:21:11Z | |
| dc.description | In this paper we generalize the notion of regular homotopy of immersions of a closed connected n-manifold into R^{2n-1} to locally generic mappings. The main result is that if n=2 then two mappings with singularities are regularly homotopic if and only if they have the same number of cross-cap (or Whitney-umbrella) singularities. As an application, we get a description of the path-components of the space of those immersions of a surface into R^4 whose projections into R^3 are locally generic. | |
| dc.description | 14 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0506563 | |
| dc.identifier | http://arxiv.org/abs/math/0506563 | |
| dc.identifier | Topology Appl. 138 (2004), no. 1-3, 45--59 | |
| dc.identifier | doi:10.1016/j.topol.2003.07.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75600 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R45 (Primary); 58K30; 57R42 (Secondary) | |
| dc.title | Regular homotopy classes of locally generic mappings | |
| dc.type | text |