Orbits and bi-invariant subsets of binary G-spaces are studied. The problem of the distributivity of a binary action of a group G on a space X, which was posed in 2016 by one of the authors, is solved. 2020 Mathematics Subject Classification. 54H15; 57S99. Key words and phrases. binary operation, topological group, groups of homeomorphisms, representations of a topological groups.
Изучаются орбиты и биинвариантные подмножества бинарного
$G$-пространства. Решается одна проблема из работы [1]
о дистрибутивности бинарного действия группы $G$ на
пространстве $X$.
Библиография: 5 названий.
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