Topological elementary equivalence of closed semi-algebraic sets in the real plane

被引：8

作者：

Kuijpers, B

Paredaens, J

Van den Bussche, J

机构：

[1] Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium

[2] Univ Instelling Antwerp, Dept Math & Comp Sci, B-2610 Antwerp, Belgium

来源：

JOURNAL OF SYMBOLIC LOGIC | 2000年 / 65卷 / 04期

关键词：

D O I：

10.2307/2695063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate topological properties of subsets S of the real plane, expressed bq first-order logic sentences in the language of the reals augmented with a binary relation symbol for S.. Two sets are called topologically elementary equivalent if they have the same such first-order topological properties. The contribution of this paper is a natural and effective characterization of topological elementary equivalence of closed semi-algebraic sets.

引用

页码：1530 / 1555

页数：26

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