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Keywords:
singular points; right equivalence; the splitting lemma
singular points; right equivalence; the splitting lemma
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.
References:
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[3] Mawhin J., Willem M.: Critical Point Theory and Hamiltonian Systems. in Appl. Math. Sci., Vol. 74 (1989). MR 0982267 | Zbl 0676.58017
[4] Abraham R., Marsden J.E., Ratiu T.: Manifolds, Tensor Analysis, and Applications. in Appl. Math. Sci., Vol. 75 (1988). MR 0960687 | Zbl 0875.58002
[5] Kuiper N.H.: $C^1$-equivalence of functions near isolated critical points. in Symposium Infinite Dimensional Topology, Baton Rouge (1967).
[6] Kuo T-C.: On $C^0$-sufficienty of jets of potential functions. Topology 8 (1969), 167-171. MR 0238338
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