# metric space

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Related to Metric geometry: 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-dimensionalHilbert space - a metric space that is linear and complete and (usually) infinite-dimensional
References in periodicals archive ?
and others could make use of an extensive body of work on metric geometry to establish improved approximation bounds.
In metric geometry we say that one metric dominates another on the same set if distances under the first metric are all greater than, or equal to, distances under the second.

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