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Metric geometry

Definitions and resources

ScienceWISE definitions	External resources
	metric geometry by Wikipedia

Subcategories and concepts

Subcategories

Concepts

sub-riemannian space 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 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 Epsilon-net Kuratowski convergence Kuratowski embedding Laplace functional Levi-Lechicki theorem Lévy metric Lévy-Prokhorov metric Metric derivative Metric map Metric outer measure Minkowski plane Non-positive curvature Packing dimension Polyhedral space Porous set Positively separated sets Probabilistic metric space Product metric Pseudometric space Quasi-isometry Quasisymmetric map T-theory Taxicab geometry Tight span Totally bounded space Tree-graded space Triangle inequality Ultralimit Ultrametric space Urysohn universal space Wasserstein metric Wijsman convergence Word metric Metric space aimed at its subspace Kullback-Leibler divergence

General information

Categorization	Also known as
Mathematics (under construction)

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