Forcing absoluteness and regularity properties

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19 Citations (Scopus)


For a large natural class of forcing notions, we prove general equivalence theorems between forcing absoluteness statements, regularity properties, and transcendence properties over L and the core model K. We use our results to answer open questions from set theory of the reals.

Original languageEnglish
Pages (from-to)879-894
Number of pages16
JournalAnnals of Pure and Applied Logic
Issue number7
Publication statusPublished - 2010 Apr
Externally publishedYes


  • Forcing absoluteness
  • Regularity properties

ASJC Scopus subject areas

  • Logic


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