Definability and nondefinability results for certain o-minimal structures

被引：1

作者：

Sfouli, Hassan ^{[1
]}

机构：

[1] Fac Sci Kenitra, Dept Math, Kenitra 14000, Morocco

来源：

MATHEMATICAL LOGIC QUARTERLY | 2010年 / 56卷 / 05期

关键词：

Definability; o-minimal structures; EXPONENTIAL FUNCTION; ELEMENTARY THEORY; FIELD;

D O I：

10.1002/malq.200910105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this note is to study for certain o-minimal structures the following propriety: for each definable C(infinity) function g(0) : [0,1] -> R there is a definable C(infinity) function g : [-epsilon, 1] -> R, for some epsilon > 0, such that g(x) = g(0)(x) for all x epsilon [0,1]. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：503 / 507

页数：5

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