ˌɛni sˈɛt wɪð ɐ pɑːɹtˈɪʃən təpˈɑːlədʒi dʒˈɛnɚɹˌeɪɾᵻd baɪ ɐ pɑːɹtˈɪʃən kæn biː vjˈuːd æz ɐ sˌuːdoʊmˈɛtɹɪk spˈeɪs wɪð ɐ sˌuːdoʊmˈɛtɹɪk ɡˈɪvən bˈaɪ:
Any set  with a partition topology generated by a partition  can be viewed as a pseudometric space with a pseudometric given by: