5 papers
Coarse Structures on Homogeneous Spaces
Carlos Pérez Estrada, Christian Rosendal
Given a closed normal subgroup of a topological group , we address the question of whether the left coarse structure on the quotient group equals the quotient of the l…
The geometrisation problem for topological groups
Christian Rosendal
This paper presents a framework for assigning intrinsic geometric structures to topological groups using only the data provided by their topological and algebraic structure. The ge…
Aspects of automatic continuity
Christian Rosendal, Luis Carlos Suarez
A general overview of the phenomenon of automatic continuity of homomorphisms between Polish groups is given. In particular, we study variants and improvements of the closed graph…
Amenability, Optimal Transport and Abstract Ergodic Theorems
Christian Rosendal
Using tools from the theory of optimal transport, we establish several results concerning isometric actions of amenable topological groups with potentially unbounded orbits. Specif…
Continuity of measurable cocycles
Christian Rosendal
Suppose is a Polish group action, is a Polish group and is a cocycle that is continuous in the second variable. If…