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

Saharon Shelah; Hugh Woodin

doi:10.1007/BF02801471

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

Saharon Shelah^*, Hugh Woodin

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	381-394
Number of pages	14
Journal	Israel Journal of Mathematics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1007/BF02801471
State	Published - Oct 1990

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title = "Large cardinals imply that every reasonably definable set of reals is lebesgue measurable",

abstract = "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.",

author = "Saharon Shelah and Hugh Woodin",

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

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