EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES

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    Author
    ANDRETTA, A; HJORTH, G; NEEMAN, I
    Date
    2007-06
    Source Title
    Journal of Mathematical Logic
    Publisher
    World Scientific Pub Co Pte Lt
    University of Melbourne Author/s
    HJORTH, GREG
    Affiliation
    Mathematics and Statistics
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    Document Type
    Journal Article
    Citations
    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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    URI
    http://hdl.handle.net/11343/27829
    DOI
    10.1142/s0219061307000615
    Description

    C1 - Refereed Journal Article
    Abstract
    <jats:p> 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. </jats:p>
    Keywords
    Pure Mathematics

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