Equivalence and zero sets of certain maps in infinite dimensions

Michal Fečkan

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 4, page 645-655
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Fečkan, Michal. "Equivalence and zero sets of certain maps in infinite dimensions." Commentationes Mathematicae Universitatis Carolinae 34.4 (1993): 645-655. <http://eudml.org/doc/247478>.

@article{Fečkan1993,
abstract = {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.},
author = {Fečkan, Michal},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {singular points; right equivalence; the splitting lemma; singular points; splitting lemma; right equivalence},
language = {eng},
number = {4},
pages = {645-655},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Equivalence and zero sets of certain maps in infinite dimensions},
url = {http://eudml.org/doc/247478},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Fečkan, Michal
TI - Equivalence and zero sets of certain maps in infinite dimensions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 4
SP - 645
EP - 655
AB - 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.
LA - eng
KW - singular points; right equivalence; the splitting lemma; singular points; splitting lemma; right equivalence
UR - http://eudml.org/doc/247478
ER -

References

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  1. Golubitsky M., Marsden J., The Morse lemma in infinite dimensions via singularity theory, SIAM J. Math. Anal. 14 (1983), 1037-1044. (1983) Zbl0525.58013MR0718809
  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. (1983) MR0702428
  3. Mawhin J., Willem M., Critical Point Theory and Hamiltonian Systems, in Appl. Math. Sci., Vol. 74 (1989). (1989) Zbl0676.58017MR0982267
  4. Abraham R., Marsden J.E., Ratiu T., Manifolds, Tensor Analysis, and Applications, in Appl. Math. Sci., Vol. 75 (1988). (1988) Zbl0875.58002MR0960687
  5. Kuiper N.H., C 1 -equivalence of functions near isolated critical points, in Symposium Infinite Dimensional Topology, Baton Rouge (1967). (1967) 
  6. Kuo T-C., On C 0 -sufficienty of jets of potential functions, Topology 8 (1969), 167-171. (1969) MR0238338

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