| Title:
|
Equivalence and zero sets of certain maps in infinite dimensions (English) |
| Author:
|
Fečkan, Michal |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
645-655 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Equivalence and zero sets of certain maps on infinite dimensional spaces are studied using an approach similar to the deformation lemma from the singularity theory. (English) |
| Keyword:
|
singular points |
| Keyword:
|
right equivalence |
| Keyword:
|
the splitting lemma |
| MSC:
|
58B99 |
| MSC:
|
58C25 |
| MSC:
|
58C27 |
| MSC:
|
58E05 |
| MSC:
|
58F14 |
| MSC:
|
58K99 |
| idZBL:
|
Zbl 0807.58005 |
| idMR:
|
MR1263794 |
| . |
| Date available:
|
2009-01-08T18:07:08Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118622 |
| . |
| Reference:
|
[1] Golubitsky M., Marsden J.: The Morse lemma in infinite dimensions via singularity theory.SIAM J. Math. Anal. 14 (1983), 1037-1044. Zbl 0525.58013, MR 0718809 |
| Reference:
|
[2] Buchner M., Marsden J.E., Schecter S.: Applications of the blowing-up construction and algebraic theory to bifurcation problems.J. Diff. Eq. 48 (1983), 404-433. MR 0702428 |
| Reference:
|
[3] Mawhin J., Willem M.: Critical Point Theory and Hamiltonian Systems.in Appl. Math. Sci., Vol. 74 (1989). Zbl 0676.58017, MR 0982267 |
| Reference:
|
[4] Abraham R., Marsden J.E., Ratiu T.: Manifolds, Tensor Analysis, and Applications.in Appl. Math. Sci., Vol. 75 (1988). Zbl 0875.58002, MR 0960687 |
| Reference:
|
[5] Kuiper N.H.: $C^1$-equivalence of functions near isolated critical points.in Symposium Infinite Dimensional Topology, Baton Rouge (1967). |
| Reference:
|
[6] Kuo T-C.: On $C^0$-sufficienty of jets of potential functions.Topology 8 (1969), 167-171. MR 0238338 |
| . |
