A non-R-factorizable product of R-factorizable groups

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-07-21 DOI:10.1016/j.topol.2025.109529

Ol'ga Sipacheva

引用次数: 0

Abstract

An example of two zero-dimensional

R

-factorizable groups whose product is not

R

-factorizable is constructed. One of these groups is second-countable and the other Lindelöf to any finite power.

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一个r可分解群的不可r可分解积

构造了两个乘积不能被r因子分解的零维r可分解群的例子。其中一组是次可数的，另一组是Lindelöf的任意有限次幂。

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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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.