Continuous Duality of Limits and Colimits of Topological Abelian Groups

被引：0

作者：

R. Beattie

H.-P. Butzmann

机构：

[1] Mount Allison University,Department of Mathematics and Computer Science

[2] Universität Mannheim,Fakultät für Mathematik und Informatik

来源：

Applied Categorical Structures | 2008年 / 16卷

关键词：

Continuous convergence; Duality of topological groups; Limits; Colimits; Pontryagin duality; 43A40; 54A20; 18A30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the category Cgp of convergence groups, the continuous dual Γc( ·) is a left adjoint and takes colimits to limits in Cgp. In general, limits are not taken to colimits. In this paper we show that, if we restrict ourselves to limits of topological groups, then reduced projective limits are carried to inductive limits in Cgp. As a consequence of this we show that the inductive limit in Cgp of locally compact topological groups is reflexive if it is separated.

引用

页码：535 / 549

页数：14

共 11 条

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