%0 Journal Article %T   Continuous reducibility: functions versus relations %A Camerlo, Riccardo %J Reports on Mathematical Logic %V 2019 %R 10.4467/20842589RM.19.002.10650 %N Number 54 %P 45-63 %K Wadge reducibility; relatively continuous relation %@ 0137-2904 %D 2020 %U https://ejournals.eu/en/journal/reports-on-mathematical-logic/article/continuous-reducibility-functions-versus-relations %X It is proved that the Tang-Pequignot reducibility (or reducibility by relatively continuous relations) on a  second countable, T0 space X either coincides with the Wadge reducibility for the given topology, or there is no topology on X that can turn it into Wadge reducibility.