Continuity in right semitopological groups

Evgenii Reznichenko

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arXiv · 2205.06316

Continuity in right semitopological groups

Evgenii Reznichenko

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Abstract

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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BibTeX RIS

Evgenii Reznichenko. 2022-09-11. Continuity in right semitopological groups. https://arxiv.org/abs/2205.06316

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