局部拟凸收敛群的对偶性

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-04-01 DOI:10.4995/AGT.2021.14585

Pranav Sharma

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引用次数: 0

摘要

在收敛空间中，拓扑群的推广就是收敛群，相应的庞特里亚金对偶的推广就是连续对偶。证明了局部拟凸性是收敛群具有可挠性的必要条件。进一步证明了收敛群的每个特征群都是局部拟凸的。2010 msc: 43a40;54岁的样子;54 h11。

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Duality of locally quasi-convex convergence groups

In the realm of the convergence spaces, the generalisation of topological groups is the convergence groups, and the corresponding extension of the Pontryagin duality is the continuous duality. We prove that local quasi-convexity is a necessary condition for a convergence group to be creflexive. Further, we prove that every character group of a convergence group is locally quasi-convex. 2010 MSC: 43A40; 54A20; 54H11.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.