Add to ORKGThe only modification from previous version is section numbering, in order to agree with the published version.We explain, following Gromov, how to produce uniform isometric actions of groups starting from isometric actions without fixed point, using common ultralimits techniques. This gives in particular a simple proof of a result by Shalom: Kazhdan's property (T) defines an open subset in the space of marked finitely generated groups
summary:Let $X$ be a $G$-space such that the orbit space $X/G$ is metrizable. Suppose a family of sl...
AbstractWe prove the equivalence of the two important facts about finite metric spaces and universal...
AbstractIn this paper we first consider some well-known classes of separable metric spaces which are...
We survey the recent developments concerning fixed point properties for group actions on Banach spac...
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of H...
We investigate fixed point properties for isometric actions of topological groups on a wide class of...
In this paper, we study isometric actions on finite-dimensional CAT(0) spaces for the Higman-Thompso...
We introduce Property (NL), which indicates that a group does not admit any (isometric) action on a ...
We show that every non-precompact topological group admits a fixed point-free continuous action by a...
We prove a Banach version of Żuk’s criterion for groups acting on partite (i.e., colorable) simplici...
AbstractWe describe a connection between the combinatorics of generators for certain groups and the ...
International audienceGiven a separable metrisable space X, and a group G of homeomorphisms of X, we...
AbstractGouliang Yu has introduced a property of discrete metric spaces and groups called property A...
38 pagesInternational audienceWe give a local characterization of the existence of Kazhdan projectio...
If $\textbf{S}$ is a subcategory of metric spaces, we say that a group G has property $B\textbf{S}$ ...
summary:Let $X$ be a $G$-space such that the orbit space $X/G$ is metrizable. Suppose a family of sl...
AbstractWe prove the equivalence of the two important facts about finite metric spaces and universal...
AbstractIn this paper we first consider some well-known classes of separable metric spaces which are...
We survey the recent developments concerning fixed point properties for group actions on Banach spac...
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of H...
We investigate fixed point properties for isometric actions of topological groups on a wide class of...
In this paper, we study isometric actions on finite-dimensional CAT(0) spaces for the Higman-Thompso...
We introduce Property (NL), which indicates that a group does not admit any (isometric) action on a ...
We show that every non-precompact topological group admits a fixed point-free continuous action by a...
We prove a Banach version of Żuk’s criterion for groups acting on partite (i.e., colorable) simplici...
AbstractWe describe a connection between the combinatorics of generators for certain groups and the ...
International audienceGiven a separable metrisable space X, and a group G of homeomorphisms of X, we...
AbstractGouliang Yu has introduced a property of discrete metric spaces and groups called property A...
38 pagesInternational audienceWe give a local characterization of the existence of Kazhdan projectio...
If $\textbf{S}$ is a subcategory of metric spaces, we say that a group G has property $B\textbf{S}$ ...
summary:Let $X$ be a $G$-space such that the orbit space $X/G$ is metrizable. Suppose a family of sl...
AbstractWe prove the equivalence of the two important facts about finite metric spaces and universal...
AbstractIn this paper we first consider some well-known classes of separable metric spaces which are...