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math.GN2015
Compact spaces of the first Baire class that have open finite degree
Antonio Avilés, Stevo Todorcevic
We introduce the open degree of a compact space, and we show that for every natural number n, the separable Rosenthal compact spaces of degree n have a finite basis.
math.GN2015
Rosenthal compacta that are premetric of finite degree
Antonio Avilés, Alejandro Poveda, Stevo Todorcevic
We show that if a separable Rosenthal compactum is an -to-one preimage of a metric compactum, but it is not an -to-one preimage, then contains a closed subset homeo…