A proof of Kurdyka's conjecture on arc-analytic functions

被引：4

作者：

Adamus, Janusz ^{[1
]}

Seyedinejad, Hadi ^{[1
]}

机构：

[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada

来源：

MATHEMATISCHE ANNALEN | 2017年 / 369卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

CHARACTERISTIC ZERO;

D O I：

10.1007/s00208-017-1544-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a conjecture of Kurdyka stating that every arc-symmetric semialgebraic set is precisely the zero locus of an arc-analytic semialgebraic function. This implies, in particular, that arc-symmetric semialgebraic sets are in one-to-one correspondence with radical ideals of the ring of arc-analytic semialgebraic functions.

引用

页码：387 / 395

页数：9

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