COMPLETE METRIC SPACE
\kəmplˈiːt mˈɛtɹɪk spˈe͡ɪs], \kəmplˈiːt mˈɛtɹɪk spˈeɪs], \k_ə_m_p_l_ˈiː_t m_ˈɛ_t_ɹ_ɪ_k s_p_ˈeɪ_s]\
Sort: Oldest first
-
A metric space in which every sequence thatconverges in itself has a limit. For example, the space ofreal numbers is complete by Dedekind's axiom, whereas thespace of rational numbers is not - e.g. the sequence a[0]=1;a[n_+1]:=a[n]/2+1/a[n].
By Denis Howe
