Uniform linear bound in Chevalley's lemma

J. Adamus; E. Bierstone; P. D. Milman

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Uniform linear bound in Chevalley's lemma

J. Adamus·E. Bierstone·P. D. Milman

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Abstract

We obtain a uniform linear bound for the Chevalley function at a point in the source of an analytic mapping that is regular in the sense of Gabrielov. There is a version of Chevalley's lemma also along a fibre, or at a point of the image of a proper analytic mapping. We get a uniform linear bound for the Chevalley function for a closed Nash (or formally Nash) subanalytic set.

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J. Adamus, E. Bierstone, P. D. Milman. 2005-02-15. Uniform linear bound in Chevalley's lemma. https://arxiv.org/abs/math/0502314

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