# metric space

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Noun | 1. | metric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequalitymathematical space, topological space - (mathematics) any set of points that satisfy a set of postulates of some kind; "assume that the topological space is finite dimensional" Euclidean space - a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensional |

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