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A generalized form of Whitney’s theorem. (English) Zbl 1140.58301

Summary: Whitney’s theorem is a famous theorem in the local singularity theory.
In this paper, as an application of the Malgrange preparation theorem, a generalized form of Whitney’s theorem will be derived.

MSC:

58C25 Differentiable maps on manifolds
32B05 Analytic algebras and generalizations, preparation theorems