Bordism classes of the multiple points manifolds
| dc.creator | Salikhov, Konstantin | |
| dc.date | 2000-08-07 | |
| dc.date.accessioned | 2026-07-07T04:36:40Z | |
| dc.date.available | 2026-07-07T04:36:40Z | |
| dc.description | Let $f:V^n\looparrowright M^m$ be a smooth generic immersion. Then the set of points, that have at least $k$ preimages is an image of a (non-generic) immersion. If the manifolds $V^n$ and $M^m$ are oriented and $m-n$ is even, then the manifold of $k$-fold points is also oriented. In this paper we compute the oriented bordism class of the manifold of $k$-fold points in terms of the differential $df$, provided the tangent bundle of the manifold $M^m$ has a nowhere zero cross-section. | |
| dc.description | 5 pages, AmSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0008049 | |
| dc.identifier | http://arxiv.org/abs/math/0008049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59684 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R42 | |
| dc.title | Bordism classes of the multiple points manifolds | |
| dc.type | text |