An embedding version of Rubin's theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911459234021376 |
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| author | Gundelach, Jan |
| author_facet | Gundelach, Jan |
| contents | Rubin's theorem asserts that if $Γ\curvearrowright X$ and $Δ\curvearrowright Y$ are Rubin actions, then any group isomorphism $Γ\cong Δ$ induces an equivariant homeomorphism $Y\cong X$. We provide an embedding version of Rubin's theorem highlighting group embeddings that induce a spatial equivariant map of a certain form. We further showcase instances of such embeddings between generalized Brin-Thompson groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18197 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An embedding version of Rubin's theorem Gundelach, Jan Dynamical Systems Group Theory Rubin's theorem asserts that if $Γ\curvearrowright X$ and $Δ\curvearrowright Y$ are Rubin actions, then any group isomorphism $Γ\cong Δ$ induces an equivariant homeomorphism $Y\cong X$. We provide an embedding version of Rubin's theorem highlighting group embeddings that induce a spatial equivariant map of a certain form. We further showcase instances of such embeddings between generalized Brin-Thompson groups. |
| title | An embedding version of Rubin's theorem |
| topic | Dynamical Systems Group Theory |
| url | https://arxiv.org/abs/2602.18197 |