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EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES

EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES

Assuming AD + DC(ℝ), we characterize the self-dual boldface pointclasses which are strictly larger (in terms of cardinality) than the pointclasses contained in them: these are exactly the clopen sets, the collections of all sets of Wadge rank [Formula: see text], and those of Wadge rank [Formula: see text] when …