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Metric geometry

Table of contents

Graph distance

Lipschitz maps

Metric geometry stubs

Metric spaces

Aleksandrov–Rassias problem

Assouad dimension

Assouad–Nagata dimension

Ball (mathematics)

Banach fixed-point theorem

Banach–Mazur compactum

CAT(k) space

Carathéodory metric

Caristi fixed-point theorem

Cartan–Hadamard theorem

Cayley–Klein metric

Chebyshev distance

Chow–Rashevskii theorem

Classical Wiener space

Coarse structure

Comparison triangle

Complete metric space

Conformal dimension

Contraction mapping

Convex cap

Covering number

Curve

Danzer set

Delone set

Dilation (metric space)

Dimension function

Distance (graph theory)

Distance geometry

Distance set

Doubling space

Effective dimension

Equilateral dimension

Equivalence of metrics

Euclidean distance

Falconer's conjecture

Flat convergence

Frostman lemma

Fréchet distance

Fréchet surface

Generalised metric

Gilbert–Pollack conjecture

Great-circle distance

Gromov product

Gromov–Hausdorff convergence

Hamming distance

Hausdorff dimension

Hausdorff distance

Hausdorff measure

Heine–Cantor theorem

Hilbert metric

Hopf–Rinow theorem

Hutchinson metric

Hyperbolic metric space

Intrinsic flat distance

Intrinsic metric

Isometry group

Johnson–Lindenstrauss lemma

Kirszbraun theorem

Kuratowski convergence

Kuratowski embedding

Laakso space

Laplace functional

Lévy metric

Lévy–Prokhorov metric

Macbeath region

Metric derivative

Metric map

Metric outer measure

Metric space aimed at its subspace

Minkowski distance

Non-positive curvature

Packing dimension

Polyhedral space

Porous set

Positively separated sets

Probabilistic metric space

Product metric

Pseudometric space

Random polytope

Reshetnyak gluing theorem

Riemannian circle

Space of directions

Stretch factor

Sub-Riemannian manifold

Tight span

Tits metric

Totally bounded space

Tree-graded space

Ultrametric space

Uniformly disconnected space

Urysohn universal space

Wasserstein metric

Wijsman convergence

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