The Pontryagin duality of sequential limits of topological Abelian groups

被引：7

作者：

Ardanza-Trevijano, S ^{[1
]}

Chasco, MJ ^{[1
]}

机构：

[1] Univ Navarra, Dept Fis & Matemat Aplicada, E-31080 Pamplona, Spain

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 202卷 / 1-3期

关键词：

D O I：

10.1016/j.jpaa.2005.02.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that direct and inverse limits of sequences of reflexive Abelian groups that are metrizable or k(omega)-Spaces, but not necessarily locally compact, are reflexive and dual of each other provided some extra conditions are satisfied by the sequences. (c) 2005 Elsevier BV All rights reserved.

引用

页码：11 / 21

页数：11

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