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ZENODO
Article . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
ZENODO
Article . 2026
License: CC BY
Data sources: Datacite
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Forcing Axioms and Generic Absoluteness for Projective Sets in Descriptive Set Theory

descriptionPublicationkeyboard_double_arrow_right Article 04 Jan 2026Publisher:Zenodo
Authors: Revista, Zen; MFC, 10;

doi: 10.5281/zenodo.18142877 , 10.5281/zenodo.18142876

Forcing Axioms and Generic Absoluteness for Projective Sets in Descriptive Set Theory

Abstract

We establish Sigma1n+1-generic absoluteness under the assumption of the Transfinite Proper Forcing Axiom (TPFA) and the existence of a proper class of Woodin cardinals via stationary tower forcing.

Keywords

Universally Baire Sets, Proper Forcing Axiom, Generic Absoluteness, Descriptive Set Theory, Projective Hierarchy, Stationary Tower, Woodin Cardinals, Large Cardinals

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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