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arXiv · 2605.04237

On the Transitive Binary $G$-Spaces

Pavel S. Gevorgyan
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Abstract

Distributive subsets of the group of all invertible continuous binary operations on a topological space are considered, and it is proved that the subgroups generated by them are also distributive. A criterion for the distributivity of a binary action of a topological group $G$ on a space $X$ is obtained. The concept of transitive binary $G$-space is introduced, and a classification of transitive distributive binary $G$-spaces is given in the case of a compact group $G$.

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Pavel S. Gevorgyan. 2026-05-05. On the Transitive Binary $G$-Spaces. https://doi.org/10.3103/s002713222570055x

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