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Projective absoluteness for Sacks forcing

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Publication:1031831
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DOI10.1007/s00153-009-0143-5zbMath1193.03074OpenAlexW2106142172MaRDI QIDQ1031831

Daisuke Ikegami

Publication date: 23 October 2009

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-009-0143-5


zbMATH Keywords

Sacks forcingforcing absolutenessBernstein sets


Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other aspects of forcing and Boolean-valued models (03E40)


Related Items (2)

Uniformization and internal absoluteness ⋮ Forcing absoluteness and regularity properties



Cites Work

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  • Can you take Solovay's inaccessible away?
  • \(\Delta^ 1_ 2\)-sets of reals
  • Descriptive set theory
  • Perfect subsets of definable sets of real numbers
  • A Proof of Projective Determinacy
  • Amoeba-absoluteness and projective measurability
  • Mathias absoluteness and the Ramsey property
  • Solovay-type characterizations for forcing-algebras
  • Uniformization in a playful universe


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