On the Transitive Binary $G$-Spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915982193197056 |
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| author | Gevorgyan, Pavel S. |
| author_facet | Gevorgyan, Pavel S. |
| contents | 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 $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_04237 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Transitive Binary $G$-Spaces Gevorgyan, Pavel S. General Topology Group Theory Primary 54H15, Secondary 54H20, 22A05, 20M20 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 $G$. |
| title | On the Transitive Binary $G$-Spaces |
| topic | General Topology Group Theory Primary 54H15, Secondary 54H20, 22A05, 20M20 |
| url | https://arxiv.org/abs/2605.04237 |