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

45 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

Access to Document

10.1007/BF02801471

Cite this

@article{a296aaf316134288a798f1769ca55150,

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",

year = "1990",

month = oct,

doi = "10.1007/BF02801471",

language = "אנגלית",

volume = "70",

pages = "381--394",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Large cardinals imply that every reasonably definable set of reals is lebesgue measurable

AU - Shelah, Saharon

AU - Woodin, Hugh

PY - 1990/10

Y1 - 1990/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/51249173444

U2 - 10.1007/BF02801471

DO - 10.1007/BF02801471

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249173444

SN - 0021-2172

VL - 70

SP - 381

EP - 394

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 3

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this