Continuous reducibility: functions versus relations

Riccardo Camerlo
2019 Reports on Mathematical Logic  
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.
doi:10.4467/20842589rm.19.002.10650 fatcat:ndw24de5a5ekdh6irk52c47lk4