Unstable structures definable in o-minimal theories

被引：2

作者：

Hasson, Assaf ^{[2
]}

Onshuus, Alf ^{[1
]}

机构：

[1] Univ Los Andes, Dept Matemat, Bogota, Colombia

[2] Univ Oxford, Math Inst, Oxford OX1 3LB, England

来源：

SELECTA MATHEMATICA-NEW SERIES | 2010年 / 16卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

CONJECTURE; FIELDS;

D O I：

10.1007/s00029-010-0018-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a dense o-minimal structure, N an unstable structure interpretable inM. Then there exists X, definable in N(eq), such that X, with the induced N-structure, is linearly ordered and o-minimal with respect to that ordering. As a consequence we obtain a classification, along the lines of Zilber's trichotomy, of unstable p-minimal types in structures interpretable in o-minimal theories.

引用

页码：121 / 143

页数：23

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