metric space

(redirected from Bounded metric)
Also found in: Thesaurus, Encyclopedia.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.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 inequality
mathematical 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
References in periodicals archive ?
Let (X,[rho]) be a bounded metric space, A [member of] CL(X), ([A.sub.k]) [subset] CL(X) and let f: [0, [infinity]) [right arrow] [0, [infinity]) be an unbounded modulus.
(1) Every bounded metric space X is (diam X)-hyperbolic (see e.g.
A bounded metric' space is an ordered pair (A, [d.sub.A]), where A is the underlying set, and