Σ31-Absoluteness for Sequences of Measures

  • William J. Mitchell
Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 26)


We extend Jensen’s Σ 3 1 -absoluteness result to apply to the core model for sequences of measures, provided that sharps exist and there is no inner model of ∃ko(k) = k ++. The proof includes a result on the patterns of indiscernibles analogous to the one which arises in Jensen’s proof.


Initial Segment Accumulation Point Core Model Order Type Total Measure 
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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • William J. Mitchell
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

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