Uniform Linear Bound in Chevalley’s Lemma

Autor:	Edward Bierstone, Janusz Adamus, Pierre D. Milman
Rok vydání:	2008
Předmět:	Subanalytic set General Mathematics Modulo regular mapping 32B20 01 natural sciences Analytic equation Combinatorics Mathematics - Algebraic Geometry Mathematics::Group Theory 0103 physical sciences FOS: Mathematics Differentiable function Complex Variables (math.CV) 0101 mathematics Commutative algebra Mathematics::Representation Theory Algebraic Geometry (math.AG) 32S10 Mathematics 14B25 Discrete mathematics Lemma (mathematics) Mathematics - Complex Variables Mathematics::Rings and Algebras 010102 general mathematics Chevalley function Nash subanalytic set Mathematics::Logic Exponent 010307 mathematical physics Analytic function
Zdroj:	Canadian Journal of Mathematics. 60:721-733
ISSN:	1496-4279 0008-414X
DOI:	10.4153/cjm-2008-032-x
Popis:	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. Comment: 12 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7b352e1a28e93d0557783ba724b7f00 https://doi.org/10.4153/cjm-2008-032-x Zobrazit plný text záznamu