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complete metric space
(redirected from Cauchy completion)

    Also found in: Wikipedia 0.12 sec.
(theory)complete metric space - A metric space in which every sequence that converges in itself has a limit. For example, the space of real numbers is complete by Dedekind's axiom, whereas the space of rational numbers is not - e.g. the sequence a[0]=1; a[n_+1]:=a[n]/2+1/a[n].
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