External resources

• metric geometry by Wikipedia

Concepts

• Aleksandrov-Rassias problem
• Banach-Mazur compactum
• Beckman-Quarles theorem
• Beer's theorem
• Carathéodory metric
• Caristi fixed point theorem
• Category of metric spaces
• Cauchy sequence
• Chebyshev distance
• Classical Wiener space
• Coarse structure
• Comparison triangle
• Complete metric space
• Complex geodesic
• Conformal dimension
• Contraction mapping
• Convex metric space
• Dilation
• Dimension function
• Distance geometry
• Distance matrix
• Doubling measure
• Effective dimension
• Epsilon-neighborhood
• Epsilon-net
• Equilateral dimension
• Equivalence of metrics
• Euclidean distance
• Fréchet distance
• Fréchet surface
• Generalised metric
• Great-circle distance
• Gromov product
• Gromov's theorem on groups of polynomial growth
• Hamming distance
• Hausdorff dimension
• Hausdorff distance
• Hausdorff measure
• Heine-Cantor theorem
• Hilbert metric
• Hutchinson metric
• Hyperbolic group
• Idempotent measure
• Injective metric space
• Intrinsic metric
• Isometry group
• Jung's theorem
• Karlsruhe metric
• Kirszbraun theorem
• Kullback-Leibler divergence
• Kuratowski convergence
• Kuratowski embedding
• Laplace functional
• Levi-Lechicki theorem
• Lévy metric
• Lévy-Prokhorov metric
• Metric derivative
• Metric map
• Metric outer measure
• Metric space aimed at its subspace
• Minkowski plane
• Non-positive curvature
• Packing dimension
• Polyhedral space
• Polytope
• Porous set
• Positively separated sets
• Probabilistic metric space
• Product metric
• Pseudometric space
• Quasi-isometry
• Quasisymmetric map
• Sub-riemannian space
• Symmetry
• Taxicab geometry
• Tight span
• Totally bounded space
• Tree-graded space
• Triangle inequality
• T-theory
• Ultralimit
• Ultrametric space
• Urysohn universal space
• Wasserstein metric
• Wijsman convergence
• Word metric

Synonyms