An embedding version of Rubin's theorem
Abstract
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Topology and Set Theory
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 20 February 2026
- Language
- EN
- Document type
- Preprint