Add to ORKGAbstract. Gromov introduced the concept of uniform embedding into Hilbert space and asked if ev-ery separable metric space admits a uniform embedding into Hilbert space. In this paper, we study uniform embedding into Hilbert space and answer Gromov’s question negatively.
We construct the first example of a coarsely non-amenable (= without Guoliang Yu’s property A) metri...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geo-metric property...
Definition 1 Let A and B be metric spaces. A mapping f: A → B is called a coarse embedding (or a uni...
Abstract. Let A and B be countable discrete groups and let = A B be their free product. We show t...
Abstract. Let A and B be countable discrete groups and let = A B be their free product. We show t...
AbstractIf one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometri...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gro-mov, is a geometric property...
This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We show that an...
Abstract. This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We sh...
It is shown that a separable Hilbert space can be covered by non-overlapping closed convex sets Ci w...
AbstractThe paper is a short survey dealing with questions of the following type: For which pair of ...
. We continue the study of (p; c)-uniform domains. Special emphasis is on (p; c)-NUD sets. The ambie...
Abstract. Let Γ be a finitely generated group which is hyperbolic relative to a finite family {H1,.....
We construct the first example of a coarsely non-amenable (= without Guoliang Yu’s property A) metri...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gromov, is a geo-metric property...
Definition 1 Let A and B be metric spaces. A mapping f: A → B is called a coarse embedding (or a uni...
Abstract. Let A and B be countable discrete groups and let = A B be their free product. We show t...
Abstract. Let A and B be countable discrete groups and let = A B be their free product. We show t...
AbstractIf one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometri...
Abstract. Uniform embeddability (in a Hilbert space), introduced by Gro-mov, is a geometric property...
This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We show that an...
Abstract. This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We sh...
It is shown that a separable Hilbert space can be covered by non-overlapping closed convex sets Ci w...
AbstractThe paper is a short survey dealing with questions of the following type: For which pair of ...
. We continue the study of (p; c)-uniform domains. Special emphasis is on (p; c)-NUD sets. The ambie...
Abstract. Let Γ be a finitely generated group which is hyperbolic relative to a finite family {H1,.....
We construct the first example of a coarsely non-amenable (= without Guoliang Yu’s property A) metri...
AbstractWe investigate how coarse embeddability of box spaces into Hilbert space behaves under group...
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic...