由序列生成的整数上的自反群拓扑。第2部分

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-09-02 DOI:10.1016/j.topol.2025.109572

Lydia Außenhofer

引用次数: 0

摘要

我们刻画了Z中（Z,Tb）为自反的d序列b，并证明了对于每一个d序列b，（Z,Tb）的字符群是自反的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Reflexive group topologies on the integers generated by sequences - Part II

We characterize those D-sequences b in

Z

for which

(Z, T_{b})

is reflexive and show that for every D-sequence b the character group of

(Z, T_{b})

is reflexive.

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.