Cobordisms of maps without prescribed singularities
| dc.creator | Ando, Yoshifumi | |
| dc.date | 2004-12-13 | |
| dc.date.accessioned | 2026-07-07T05:15:14Z | |
| dc.date.available | 2026-07-07T05:15:14Z | |
| dc.description | Let $N$ and $P$ be smooth closed manifolds of dimensions $n$ and $p$ respectively. Given a Thom-Boardman symbol $I$, a smooth map $f:N\to P$ is called an $Ω^{I}$-regular map if and only if the Thom-Boardman symbol of each singular point of $f$ is not greater than $I$ in the lexicographic order. We will represent the group of all cobordism classes of $Ω^{I}$-regular maps of $n$-dimensional closed manifolds into $P$ in terms of certain stable homotopy groups. As an application we will study the relationship among the stable homotopy groups of spheres, the above cobordism group and higher singularities. | |
| dc.description | 26pages | |
| dc.identifier | https://arxiv.org/abs/math/0412234 | |
| dc.identifier | http://arxiv.org/abs/math/0412234 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73563 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57R45; 57R90 | |
| dc.title | Cobordisms of maps without prescribed singularities | |
| dc.type | text |