Israel Journal of Mathematics

, Volume 70, Issue 3, pp 381–394 | Cite as

Large cardinals imply that every reasonably definable set of reals is lebesgue measurable

  • Saharon Shelah
  • Hugh Woodin


We prove that if there is a supercompact cardinal or much smaller large cardinals, then every set of reals from L(R) is Lebesgue measurable, and similar results. We also introduce some large cardinals.


Normal Ideal Homogeneous Tree Large Cardinal Force Notion Stationary Subset 
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Copyright information

© The Weizmann Science Press of Israel 1990

Authors and Affiliations

  • Saharon Shelah
    • 1
    • 3
  • Hugh Woodin
    • 2
    • 3
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael
  2. 2.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA
  3. 3.Department of MathematicsRutgers UniversityNew BrunswickUSA

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