On transitive and homogeneous binary $G$-spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916937743728640 |
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| author | Gevorgyan, Pavel S. Melendez, Quitzeh Morales |
| author_facet | Gevorgyan, Pavel S. Melendez, Quitzeh Morales |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05847 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On transitive and homogeneous binary $G$-spaces Gevorgyan, Pavel S. Melendez, Quitzeh Morales General Topology 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. |
| title | On transitive and homogeneous binary $G$-spaces |
| topic | General Topology |
| url | https://arxiv.org/abs/2509.05847 |