The null ideal restricted to some non-null set may be א1- saturated

Saharon Shelah

doi:10.4064/fm179-2-1

The null ideal restricted to some non-null set may be א₁- saturated

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

6 Scopus citations

Abstract

Our main result is that possibly some non-null set of reals cannot be divided into uncountably many non-null sets. We also deal with a non-null set of reals, the graph of any function from which is null, and deal with our iterations somewhat more generally.

Original language	English
Pages (from-to)	97-129
Number of pages	33
Journal	Fundamenta Mathematicae
Volume	179
Issue number	2
DOIs	https://doi.org/10.4064/fm179-2-1
State	Published - 2003

Keywords

FS iteration
Forcing
Measure
Nep forcing
Null functions
Null ideal
Set theory

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10.4064/fm179-2-1

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The null ideal restricted to some non-null set may be א₁- saturated

Abstract

Keywords

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