About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 85. Chapters: Metric space, Complete metric space, Cauchy sequence, Euclidean distance, Triangle inequality, Curve, Hausdorff dimension, Contraction mapping, Geodesic, Hamming distance, Ball, Pseudometric space, Metric map, Kirszbraun theorem, Systolic geometry, Ultralimit, Introduction to systolic geometry, Glossary of Riemannian and metric geometry, Great-circle distance, Fr chet distance, Effective dimension, Totally bounded space, Word metric, Hyperbolic group, Tight span, Equilateral dimension, CAT(k) space, Hausdorff distance, Hausdorff measure, Distance geometry, Taxicab geometry, Cartan-Hadamard theorem, Ultrametric space, Growth rate, Coarse structure, Quasisymmetric map, Systoles of surfaces, Classical Wiener space, Wasserstein metric, Injective metric space, Isometry, Chebyshev distance, Hilbert metric, Convex metric space, Dimension function, Doubling measure, Polyhedral space, Intrinsic metric, Sub-Riemannian manifold, Equivalence of metrics, Generalised metric, Banach-Mazur compactum, Gromov-Hausdorff convergence, Metric space aimed at its subspace, Packing dimension, Gromov's theorem on groups of polynomial growth, Carath odory metric, Jung's theorem, Kuratowski convergence, L vy-Prokhorov metric, Quasi-isometry, Wijsman convergence, Distance matrix, Metric outer measure, Aleksandrov-Rassias problem, Hutchinson metric, Gromov product, Porous set, Caristi fixed point theorem, Kuratowski embedding, Category of metric spaces, Heine-Cantor theorem, Hopf-Rinow theorem, T-theory, Complex geodesic, Metric derivative, Fr chet surface, Urysohn universal space, Laplace functional, -hyperbolic space, Non-positive curvature, Idempotent measure, Probabilistic metric space, Isometry group, Comparison triangle, L vy metric, Positively separated sets, Product metric, Beckman-Quarles theorem, -net, Minkowski plane, Dilation, Karl...