EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES
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2007-06
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Journal of Mathematical Logic
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World Scientific Pub Co Pte Lt
Melbourne Authors
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Mathematics and Statistics
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Journal Article
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ANDRETTA, A., HJORTH, G. & NEEMAN, I. (2007). EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES. Journal of Mathematical Logic, 07 (01), pp.35-82. https://doi.org/10.1142/s0219061307000615.
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C1 - Refereed Journal Article
Abstract
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 ξ is limit.
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Pure Mathematics