2 papers
math.GR2024
Smoothing countable group actions on metrizable spaces
Inhyeok Choi, Sang-hyun Kim
We prove that every topological action of a countable group on a metrizable space can be realized as a bi-Lipschitz action with respect to some compatible metric. This extends a re…
math.GR2024
Subexponential growth and actions on one-manifolds
Sang-hyun Kim, Nicolás Matte Bon, Mikael de la Salle +1
Let be a countable group with no finitely generated subgroup of exponential growth. We show that every action of on a countable set preserving a linear (respectively, circu…