complete metric space

1 definition found

complete metric space - Free On-line Dictionary of Computing (26 May 2007) :

  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].
  
     (1998-07-05)