Rosenthal compacta that are premetric of finite degree

Antonio Avilés, Alejandro Poveda, Stevo Todorcevic

We show that if a separable Rosenthal compactum $K$ is an $n$-to-one preimage of a metric compactum, but it is not an $n-1$-to-one preimage, then $K$ contains a closed subset homeo…