43 citations · 184 across the 26 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.GT2023
Orientation-preserving homeomorphisms of Euclidean space are commutators
Megha Bhat, Nicholas G. Vlamis
We prove that every orientation-preserving homeomorphism of Euclidean space can be expressed as a commutator of two orientation-preserving homeomorphisms. We give an analogous resu…
math.GT2023
Homeomorphism groups of 2-manifolds with the virtual Rokhlin property
Justin Lanier, Nicholas G. Vlamis
We introduce and motivate the definition of the virtual Rokhlin property for topological groups. We then classify the 2-manifolds whose homeomorphism groups have the virtual Rokhli…
math.GT2023
Homeomorphism groups of self-similar 2-manifolds
Nicholas G. Vlamis
The class of self-similar 2-manifolds consists of manifolds exhibiting a type of homogeneity akin to the 2-sphere and the Cantor set, and includes both the 2-sphere and the 2-spher…