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∞
We prove that the full automorphism group and the outer automorphism group of the free group of coun...
This thesis focuses on the study of Polish groups seen as automorphism groups of metric structures. ...
ABSTRACT. We give a construction of two-sided invariant metrics on free products (possibly with amal...
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...
Abstract. We construct Graev ultrametrics on free products of groups with two-sided invariant ultram...
Necessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It...
summary:We study free topological groups defined over uniform spaces in some subclasses of the class...
AbstractIf G is a Polish group, then the category of Polish G-spaces and continuous G-mappings has a...
We show that all groups of a distinguished class of «large» topological groups, that of Roelcke prec...
AbstractWe show that, for every nonlocally compact Polish group G with a left-invariant complete met...
International audienceWe define and study the notion of \emph{ample metric generics} for a Polish to...
I will give a biased and partial survey of what can be gained by approaching a Polish group as the ...
In §2.1 - 2.5, we survey some basic facts about Polish group actions, particularly continuous and Bo...
We prove that the full automorphism group and the outer automorphism group of the free group of coun...
This thesis focuses on the study of Polish groups seen as automorphism groups of metric structures. ...
ABSTRACT. We give a construction of two-sided invariant metrics on free products (possibly with amal...
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...
Abstract. We construct Graev ultrametrics on free products of groups with two-sided invariant ultram...
Necessary and sufficient conditions are given for a Polish topological group to be 'almost free'. It...
summary:We study free topological groups defined over uniform spaces in some subclasses of the class...
AbstractIf G is a Polish group, then the category of Polish G-spaces and continuous G-mappings has a...
We show that all groups of a distinguished class of «large» topological groups, that of Roelcke prec...
AbstractWe show that, for every nonlocally compact Polish group G with a left-invariant complete met...
International audienceWe define and study the notion of \emph{ample metric generics} for a Polish to...
I will give a biased and partial survey of what can be gained by approaching a Polish group as the ...
In §2.1 - 2.5, we survey some basic facts about Polish group actions, particularly continuous and Bo...
We prove that the full automorphism group and the outer automorphism group of the free group of coun...
This thesis focuses on the study of Polish groups seen as automorphism groups of metric structures. ...
ABSTRACT. We give a construction of two-sided invariant metrics on free products (possibly with amal...
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