It's known that $PD$ implies projective uniformization. Assuming $AD$, is there an analogous theorem that holds for all subsets of the plane (where the uniformizing functions are reasonably definable for whatever interpretation of "reasonably definable" that makes the theorem interesting)? If the answer is negative, then what are the strongest known uniformization results that follow from $AD$?
2026-03-27 23:30:49.1774654249
Determinacy and uniformization
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