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arXiv · 2509.05847

On transitive and homogeneous binary $G$-spaces

Pavel S. Gevorgyan·Quitzeh Morales Melendez
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Abstract

In this paper, the notions of transitivity and homogeneity in binary $G$-spaces are studied. These notions coincide for distributive binary $G$-spaces. For compact $G$, it is shown that distributive transitive binary $G$-spaces are coset spaces with a suitably defined binary $G$-action. Homogeneous binary $G$-spaces are topologically homogeneous and are separated into distinct stabilization types. Examples of each type are constructed.

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Pavel S. Gevorgyan, Quitzeh Morales Melendez. 2025-09-06. On transitive and homogeneous binary $G$-spaces. https://doi.org/10.3103/s1068362325700037

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