EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES-Reference-Cited by-同舟云学术

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EFFECTIVE CARDINALS OF BOLDFACE POINTCLASSES

Published:2007-06 Issue:01 Volume:07 Page:35-82
ISSN:0219-0613
Container-title:Journal of Mathematical Logic
language:en
Short-container-title:J. Math. Log.

Author:

ANDRETTA ALESSANDRO¹,HJORTH GREG²,NEEMAN ITAY²

Affiliation:

1. Dipartimento di Matematica, Università di Torino, Italy

2. Department of Mathematics, University of California at Los Angeles, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Logic

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219061307000615

Reference7 articles.

1. More on Wadge determinacy

2. An absoluteness principle for Borel sets

3. Cardinalities in the projective hierarchy

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Zero-dimensional σ-homogeneous spaces;Annals of Pure and Applied Logic;2024-01

2. CONSTRUCTING WADGE CLASSES;The Bulletin of Symbolic Logic;2022-01-26

3. Every zero-dimensional homogeneous space is strongly homogeneous under determinacy;Journal of Mathematical Logic;2020-03-04

4. The descriptive set theory of the Lebesgue Density Theorem;Advances in Mathematics;2013-02

5. Borel Equivalence Relations;Handbook of Set Theory;2009-12-10

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