Let X and Y be two infinite-dimensional Banach spaces. If X is (uniformly) finitely crudely representable in every finite-codimensional subspace of Y, then any proper subset of X almost bi-Lipschitz embeds into Y.Comment: 9 page
Nonlinear embeddings of Banach spaces has been an active field of research since the mid 20th centur...
We study several properties and applications of the ultrapower of a metric space M. We prove that th...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
The main goal of this paper is to improve the result of Ostrovskii (2012) on the finite determinatio...
Abstract. We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddabil...
We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We pr...
The central theme of this thesis is the study of embeddings of metric spaces into Banach spaces.The ...
The central theme of this thesis is the embedding of metric spaces into Banach spaces. The embedding...
We characterize uniformly perfect, complete, doubling metric spaces which embed bi-Lipschitzly into ...
This paper treats the embedding of finite-dimensional subsets of a Banach space B into finite-dimens...
Embeddings of discrete metric spaces into Banach spaces recently became an important tool in compute...
Le thème central de cette thèse est l'étude de plongements d'espaces métriques dans des espaces de B...
AbstractThe paper is a short survey dealing with questions of the following type: For which pair of ...
The purpose of this paper is to prove that locally finite metric spaces are coarsely embeddable into...
This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We show that an...
Nonlinear embeddings of Banach spaces has been an active field of research since the mid 20th centur...
We study several properties and applications of the ultrapower of a metric space M. We prove that th...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
The main goal of this paper is to improve the result of Ostrovskii (2012) on the finite determinatio...
Abstract. We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddabil...
We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We pr...
The central theme of this thesis is the study of embeddings of metric spaces into Banach spaces.The ...
The central theme of this thesis is the embedding of metric spaces into Banach spaces. The embedding...
We characterize uniformly perfect, complete, doubling metric spaces which embed bi-Lipschitzly into ...
This paper treats the embedding of finite-dimensional subsets of a Banach space B into finite-dimens...
Embeddings of discrete metric spaces into Banach spaces recently became an important tool in compute...
Le thème central de cette thèse est l'étude de plongements d'espaces métriques dans des espaces de B...
AbstractThe paper is a short survey dealing with questions of the following type: For which pair of ...
The purpose of this paper is to prove that locally finite metric spaces are coarsely embeddable into...
This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We show that an...
Nonlinear embeddings of Banach spaces has been an active field of research since the mid 20th centur...
We study several properties and applications of the ultrapower of a metric space M. We prove that th...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
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