AbstractWe define some new metrics on free groups and obtain a class of Polish groups by taking appropriate metric completions so that every Polish group is the quotient group of some one in the class. Moreover, we show that the resulting groups can be taken to be Π30 Polishable subgroups of the infinite permutation group S∞
AbstractThe main theorem is that if G is a Polish group with a comeagre conjugacy class, and G acts ...
summary:We study free topological groups defined over uniform spaces in some subclasses of the class...
This thesis focuses on the study of Polish groups seen as automorphism groups of metric structures. ...
AbstractWe define some new metrics on free groups and obtain a class of Polish groups by taking appr...
AbstractA Polish group is surjectively universal if it can be continuously homomorphically mapped on...
AbstractWe prove a conjecture of Hjorth: There is an uncountable Polish group all of whose abelian s...
Necessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It...
I will give a biased and partial survey of what can be gained by approaching a Polish group as the ...
Abstract. We construct Graev ultrametrics on free products of groups with two-sided invariant ultram...
This dissertation presents results about computations of Graev metrics on free groups and characteri...
We show that all groups of a distinguished class of «large» topological groups, that of Roelcke prec...
In this paper, we develop the metric theory for the outer space of a free product of groups. This ge...
We study metric model theory and Polish groups as automorphism groups of separable metric structures...
ABSTRACT. We give a construction of two-sided invariant metrics on free products (possibly with amal...
Cette thèse porte sur l'étude des groupes polonais vus comme groupes d'automorphismes de structures ...
AbstractThe main theorem is that if G is a Polish group with a comeagre conjugacy class, and G acts ...
summary:We study free topological groups defined over uniform spaces in some subclasses of the class...
This thesis focuses on the study of Polish groups seen as automorphism groups of metric structures. ...
AbstractWe define some new metrics on free groups and obtain a class of Polish groups by taking appr...
AbstractA Polish group is surjectively universal if it can be continuously homomorphically mapped on...
AbstractWe prove a conjecture of Hjorth: There is an uncountable Polish group all of whose abelian s...
Necessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It...
I will give a biased and partial survey of what can be gained by approaching a Polish group as the ...
Abstract. We construct Graev ultrametrics on free products of groups with two-sided invariant ultram...
This dissertation presents results about computations of Graev metrics on free groups and characteri...
We show that all groups of a distinguished class of «large» topological groups, that of Roelcke prec...
In this paper, we develop the metric theory for the outer space of a free product of groups. This ge...
We study metric model theory and Polish groups as automorphism groups of separable metric structures...
ABSTRACT. We give a construction of two-sided invariant metrics on free products (possibly with amal...
Cette thèse porte sur l'étude des groupes polonais vus comme groupes d'automorphismes de structures ...
AbstractThe main theorem is that if G is a Polish group with a comeagre conjugacy class, and G acts ...
summary:We study free topological groups defined over uniform spaces in some subclasses of the class...
This thesis focuses on the study of Polish groups seen as automorphism groups of metric structures. ...