Cell decomposition and definable functions for weak p-adic structures

被引：2

作者：

Leenknegt, Eva ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

MATHEMATICAL LOGIC QUARTERLY | 2012年 / 58卷 / 06期

关键词：

Cell decomposition; quantifier elimination; p-adic geometry; minimality; THEOREM; REDUCTS; VERSION; SETS;

D O I：

10.1002/malq.201200031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a notion of cell decomposition suitable for studying weak p-adic structures (reducts of p-adic fields where addition and multiplication are not (everywhere) definable). As an example, we consider a structure with restricted addition. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：482 / 497

页数：16

共 16 条

[1]

[Anonymous], 1998, Tame topology and ominimal structures, DOI DOI 10.1017/CBO9780511525919

[2] AN ISOMORPHISM THEOREM FOR HENSELIAN ALGEBRAIC EXTENSIONS OF VALUED FIELDS [J].