Stability of $C^{\infty }$ mappings, III. Finitely determined map-germs

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1. [1] S. LANG, Introduction to Differentiable Manifolds, New York, Interscience, 1962. Zbl0103.15101MR27 #5192
2. [2] B. MALGRANGE, Ideals of Differentiable Functions, London, Oxford University Press, 1966. Zbl0177.17902
3. [3] J. MATHER, Stability of C∞ mappings : I. The division theorem, Annals of Math., vol. 87, 1968, pp. 89-104 ; II. Infinitesimal stability implies stability (to appear in the Annals of Math.). Zbl0159.24902MR38 #726
4. [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. Zbl0136.03905MR36 #2170
5. [5] J.-Cl. TOUGERON, Idéaux de fonctions différentiables, Thèse, Université de Rennes, 1967 (to appear in the Annales de l'Institut Fourier). Zbl0162.18502

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