## Stability of $$C^ \infty$$ mappings. III: Finitely determined map germs.(English)Zbl 0159.25001

topology
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 [1] S. Lang,Introduction to Differentiable Manifolds, New York, Interscience, 1962. · Zbl 0103.15101 [2] B. Malgrange,Ideals of Differentiable Functions, London, Oxford University Press, 1966. · Zbl 0177.17902 [3] J. Mather, Stability of C{su mappings: I. The division theorem,Annals of Math., vol. 87, 1968, pp. 89–104; II. Infinitesimal stability implies stability (to appear in theAnnals of Math.). · Zbl 0159.24902 [4] J.-Cl. Tougeron, Une généralisation du théorème des fonctions implicites. Équivalence des idéaux de fonctions différentiables,C. R. Acad. Sc., Paris, t. 262, pp. 487–489, and pp. 563–565. [5] J.-Cl. Tougeron, Idéaux de fonctions différentiables, Thèse, Université de Rennes, 1967 (to appear in theAnnales de l’Institut Fourier).
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