论文标题

右半独立群的连续性

Continuity in right semitopological groups

论文作者

Reznichenko, Evgenii

论文摘要

考虑具有与代数结构的一种或另一种方式一致的拓扑组的组。具有拓扑结构的古典群体是拓扑,副学,半流动学和准学群体。我们还研究其他匹配拓扑结构和代数结构的方式。本文的最低要求是该小组是一个正确的半足组(此类组通常称为正确的拓扑组)。我们研究了一个拓扑结构是拓扑组的何时;朝这个方向的研究始于迪恩·蒙哥马利和罗伯特·埃利斯的工作。 (不变的)对角线的半邻化用作研究手段。

Groups with a topology that is in consistent one way or another with the algebraic structure are considered. Classical groups with a topology are topological, paratopological, semitopological, and quasitopological groups. We also study other ways of matching topology and algebraic structure. The minimum requirement in this paper is that the group is a right semitopological group (such groups are often called right topological groups). We study when a group with a topology is a topological group; research in this direction began with the work of Deane Montgomery and Robert Ellis. (Invariant) semi-neighborhoods of the diagonal are used as a means of study.

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