Bounded countable atomic compactness of ordered groups

被引：0

作者：

Wehrung, F ^{[1
]}

机构：

[1] UNIV CAEN,DEPT MATH,F-14032 CAEN,FRANCE

来源：

FUNDAMENTA MATHEMATICAE | 1995年 / 148卷 / 02期

关键词：

monotone sigma-complete groups; dimension groups; equational compactness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that whenever A is a monotone sigma-complete dimension group, then A(+) boolean OR {infinity} is countably equationally compact, and we show how this property can supply the necessary amount of completeness in several kinds of problems. In particular, if A is a countable dimension group and E is a monotone sigma-complete dimension group, then the ordered group of all relatively bounded homomorphisms from A to E is a monotone sigma-complete dimension group.

引用

页码：101 / 116

页数：16

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