Results 61 to 70 of about 300,261 (100)

On the Kirchheim-Magnani counterexample to metric differentiability [PDF]

arXiv, 2007
In this short note we give an interpretation of the Kirchheim-Magnani counterexample to metric differentiability in terms of dilatation structures.
arxiv  

Introduction to metric spaces with dilations [PDF]

arXiv, 2010
This paper gives a short introduction into the metric theory of spaces with dilations.
arxiv  

Metric spaces with subexponential asymptotic dimension growth [PDF]

arXiv, 2011
We prove that a metric space with subexponential asymptotic dimension growth has Yu's property A.
arxiv  

Expansive maps are isometries [PDF]

arXiv, 2015
We show that expansive maps from a dense subset of a compact metric space into the metric space itself are ...
arxiv  

Strings in metric spaces [PDF]

arXiv
We introduce strings in metric spaces and define string complexes of metric spaces. We describe the class of 2-dimensional topological spaces which arise in this way from finite metric spaces.
arxiv  

Infinite closed monochromatic subsets of a metric space [PDF]

arXiv, 2015
Given a coloring of the k-element subsets of an uncountable separable metric space, we show that there exists an infinite monochromatic subset which contains its limit point.
arxiv  

Trimming of metric spaces and the tight span [PDF]

arXiv, 2017
We use the trimming transformations to study the tight span of a metric space.
arxiv  

Geometries of convex and finite sets of geodesic spaces [PDF]

arXiv, 2010
The work consists of solutions of metric problems for convex and finite subsets of geodesic spaces.
arxiv  

Inequalities of relative weighted metrics [PDF]

arXiv, 2002
In this paper we present inequalities between two generalizations of the hyperbolic metric and the j_G metric. We also prove inequalities between generalized versions of the j_G metric and Seittenranta's metric.
arxiv  

An overview of the Kepler conjecture [PDF]

arXiv, 1998
This is the first in a series of papers giving a proof of the Kepler conjecture, which asserts that the density of a packing of congruent spheres in three dimensions is never greater than $\pi/\sqrt{18}\approx 0.74048...$. This is the oldest problem in discrete geometry and is an important part of Hilbert's 18th problem.
arxiv