## complete metric space

<*theory*>

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].

Last updated: 1998-07-05

### Nearby terms:

complete lattice ♦ **complete metric space** ♦ completeness ♦ complete partial ordering

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