Forcing absoluteness and regularity properties
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Publication:636331
DOI10.1016/j.apal.2009.10.005zbMath1223.03032OpenAlexW2030570356MaRDI QIDQ636331
Publication date: 26 August 2011
Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)
Full work available at URL: http://dare.uva.nl/personal/pure/en/publications/forcing-absoluteness-and-regularity-properties(3ea5132e-d3e9-43bd-84bb-5370b7f9f074).html
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Cites Work
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- MA(\(\sigma\)-centered): Cohen reals, strong measure zero sets and strongly meager sets
- Projective absoluteness for Sacks forcing
- Descriptive set theory
- \(\Sigma_3^1\) absoluteness and the second uniform indiscernible
- Proper forcing extensions and Solovay models
- A basis theorem for \(\sum^ 1_ 3\) sets of reals
- Core models
- Amoeba-absoluteness and projective measurability
- A characterization of Martin's axiom in terms of absoluteness
- Descriptive set theory and definable forcing
- Silver Measurability and its relation to other regularity properties
- Set Theory
- Mathias absoluteness and the Ramsey property
- The Size of the Ordinal u 2
- Solovay-type characterizations for forcing-algebras
- Solovay models and forcing extensions
- Iterates of the core model
- On the Cardinality of $$ \sum_2^1 $$ Sets of Reals
- Inner models and large cardinals