Author:
Adamus J.,Bierstone E.,Milman P. D.
Abstract
AbstractWe 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 of a closed Nash (or formally Nash) subanalytic set.
Publisher
Canadian Mathematical Society
Cited by
4 articles.
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1. On the Nash points of subanalytic sets;Journal of Singularities;2024
2. A proof of A. Gabrielov’s rank theorem;Journal de l’École polytechnique — Mathématiques;2021-07-28
3. Cm solutions of semialgebraic or definable equations;Advances in Mathematics;2021-07
4. On the holomorphic closure dimension of real analytic sets;Transactions of the American Mathematical Society;2011-11-01