Add to ORKGAbstract. For each sequence {Xm}∞m=1 of finite-dimensional Banach spaces there exists a sequence {Hn}∞n=1 of finite connected unweighted graphs with maximum degree 3 such that the following conditions on a Banach space Y are equivalent: • Y admits uniformly isomorphic embeddings of {Xm}∞m=1. • Y admits uniformly bilipschitz embeddings of {Hn}∞n=1. 1
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
In this note, we discuss an analogue of the Weil–Petersson metric for spaces of metric graphs and so...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
summary:Let $(M,d)$ be a bounded countable metric space and $c>0$ a constant, such that $d(x,y)+d(y,...
Embeddings of discrete metric spaces into Banach spaces recently became an important tool in compute...
Abstract. We show that if the Szlenk index of a Banach space X is larger than the first infinite ord...
ABSTRACT. We show that every metric space with bounded geometry uniformly embeds into a direct sum o...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and ma...
The central theme of this thesis is the embedding of metric spaces into Banach spaces. The embedding...
This paper treats the embedding of finite-dimensional subsets of a Banach space B into finite-dimens...
AbstractA theorem proved by Hrushovski for graphs and extended by Solecki and Vershik (independently...
International audienceIn this course we show how some linear properties of Banach spaces, in particu...
The cut pseudo-metric on the space of graph limits induces an equivalence relation. The quotient spa...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spa...
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
In this note, we discuss an analogue of the Weil–Petersson metric for spaces of metric graphs and so...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...
summary:Let $(M,d)$ be a bounded countable metric space and $c>0$ a constant, such that $d(x,y)+d(y,...
Embeddings of discrete metric spaces into Banach spaces recently became an important tool in compute...
Abstract. We show that if the Szlenk index of a Banach space X is larger than the first infinite ord...
ABSTRACT. We show that every metric space with bounded geometry uniformly embeds into a direct sum o...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
In this thesis we build on the theory concerning the metric geometry of relatively hyperbolic and ma...
The central theme of this thesis is the embedding of metric spaces into Banach spaces. The embedding...
This paper treats the embedding of finite-dimensional subsets of a Banach space B into finite-dimens...
AbstractA theorem proved by Hrushovski for graphs and extended by Solecki and Vershik (independently...
International audienceIn this course we show how some linear properties of Banach spaces, in particu...
The cut pseudo-metric on the space of graph limits induces an equivalence relation. The quotient spa...
We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spa...
Abstract. We study the isometric extension problem for Hölder maps from subsets of any Banach space...
In this note, we discuss an analogue of the Weil–Petersson metric for spaces of metric graphs and so...
This research paper was completed and submitted at Nipissing University, and is made freely accessib...