47 citations · 181 across the 30 of their papers we have counts for
4 papers · 1 filter
Universal actions and representations of locally finite groups on metric spaces
Michal Doucha
We construct a universal action of a countable locally finite group (the Hall's group) on a separable metric space by isometries. This single action contains all actions of all cou…
Embeddings into monothetic groups
Michal Doucha
We provide a very short elementary proof that every bounded separable metric group embeds into a monothetic bounded metric group, in such a way that the result of Morris and Pestov…
Generic norms and metrics on countable abelian groups
Michal Doucha
For a countable abelian group we investigate generic properties of the space of all invariant metrics on . We prove that for every such an unbounded group , i.e. group wh…
Metric topological groups: their metric approximation and metric ultraproducts
Michal Doucha
We define a metric ultraproduct of topological groups with left-invariant metric, and show that there is a countable sequence of finite groups with left-invariant metric whose metr…