Smooth maps having only singularities with Boardman symbol (1,0) (Q1888470)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Smooth maps having only singularities with Boardman symbol (1,0) |
scientific article; zbMATH DE number 2117954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth maps having only singularities with Boardman symbol (1,0) |
scientific article; zbMATH DE number 2117954 |
Statements
Smooth maps having only singularities with Boardman symbol (1,0) (English)
0 references
23 November 2004
0 references
The author determines the homotopy type of the subspace consisting of all 2-jets of smooth germs, which are regular or have singularities with Boardman symbol (1,0). This is aimed at classifying smooth maps having only such singularities by the homotopy principle due to \textit{A. Du Plessis} [Comment. Math. Helv. 50, 363--382 (1975; Zbl 0313.58010)] and \textit{M. Gromov} [Math. USSR, Izv. 3, 671--694 (1969), translation from Izv. Akad. Nauk SSSR, Ser. Mat. 33, 707--734 (1969; Zbl 0197.20404)]. Some interesting applications concerning the existence and non-existence of such regular maps are given.
0 references
singularity
0 references
jet space
0 references
Thom-Boardman manifold
0 references
homotopy type
0 references
