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On germs of differentiable functions in two variables. (English) Zbl 0278.57013


MSC:

57R70 Critical points and critical submanifolds in differential topology
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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References:

[1] Bochnak, J. and Lojasiewicz, S., A converse of the Kuiper-Kuo Theorem, Lecture Notes, in Math. Springer, 192 (1971), 254-261. · Zbl 0221.58002
[2] Kuo, T.C., The jet space Jr(n, p), ibid. 169-177.
[3] Malgrange, B., Ideals of differentiable functions, Oxford University Press, 1966. · Zbl 0177.17902
[4] Shiota, M., Transformations of germs of differentiable functions through changes of local coordinates, RIMS, Kyoto Univ. 9 (1973), 123-140. · Zbl 0271.58003
[5] Tougeron, J.CL, Ideaux de fonctions differentiable, 1. Ann. Inst. Fourier 18, 1 (1968), 177-240. · Zbl 0188.45102
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