Effective cardinals of boldface pointclasses

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Journal of Mathematical Logic 7 (1):35-82 (2007)
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Abstract

Assuming AD + DC, we characterize the self-dual boldface pointclasses which are strictly larger 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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10.1142/s0219061307000615

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Citations of this work

Constructing wadge classes.Raphaël Carroy, Andrea Medini & Sandra Müller - 2022 - Bulletin of Symbolic Logic 28 (2):207-257.
Zero-dimensional σ-homogeneous spaces.Andrea Medini & Zoltán Vidnyánszky - 2024 - Annals of Pure and Applied Logic 175 (1):103331.

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References found in this work

More on Wadge determinacy.Alessandro Andretta - 2006 - Annals of Pure and Applied Logic 144 (1-3):2-32.
Equivalence between Wadge and Lipschitz determinacy.Alessandro Andretta - 2003 - Annals of Pure and Applied Logic 123 (1-3):163-192.
An absoluteness principle for borel sets.Greg Hjorth - 1998 - Journal of Symbolic Logic 63 (2):663-693.
Cardinalities in the projective hierarchy.Greg Hjorth - 2002 - Journal of Symbolic Logic 67 (4):1351-1372.
An Absoluteness Principle for Borel Sets.Greg Hjorth - 1998 - Journal of Symbolic Logic 63 (2):663-693.

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