拓扑的一些概念和拓扑代数中的一些问题

IF 0.6 4区数学 Q3 MATHEMATICS

Quaestiones Mathematicae Pub Date : 2023-11-01 DOI:10.2989/16073606.2023.2247726

A.V. Arhangel’skii

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引用次数: 0

摘要

摘要本文具有混合性的特点。它包含新的结果，特别是关于半拓扑群。我们还提出了一些问题，引入了新的定义，并详细描述了我们下面需要的某些技术，为完整性提供了不太知名的定理的证明。因此，这篇文章也可以看作是一种简短的调查。数学学科分类(2020):54a2554d2054d4054e18关键字:半拓扑群齐次spacep-spaceLindelöf p-space - spaceremainder可数紧致σ-紧致群数

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Some concepts of topology and questions in topological algebra

AbstractThis paper has features of mixed nature. It contains new results, in particular, on semitopological groups. We also pose some problems, introduce new definitions and describe in details certain techniques we need below, providing the proofs of not so well-known theorems for the sake of completeness. Hence, this article can be treated also as a kind of a short survey.Mathematics Subject Classification (2020): 54A2554D2054D4054E18Key words: Semitopological grouphomogeneous spacep-spaceLindelöf p-spaces-spaceremaindercountably compactσ-compactgroup number

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来源期刊

Quaestiones Mathematicae 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

121

审稿时长

>12 weeks

期刊介绍： Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.