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

7 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

Access to Document

10.4064/fm179-2-1

Cite this

@article{8552eb4e13e4496c88da641c3d64c519,

title = "The null ideal restricted to some non-null set may be א1- saturated",

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.",

keywords = "FS iteration, Forcing, Measure, Nep forcing, Null functions, Null ideal, Set theory",

author = "Saharon Shelah",

year = "2003",

doi = "10.4064/fm179-2-1",

language = "אנגלית",

volume = "179",

pages = "97--129",

journal = "Fundamenta Mathematicae",

issn = "0016-2736",

publisher = "Institute of Mathematics, Polish Academy of Sciences",

number = "2",

}

TY - JOUR

T1 - The null ideal restricted to some non-null set may be א1- saturated

AU - Shelah, Saharon

PY - 2003

Y1 - 2003

N2 - 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.

AB - 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.

KW - FS iteration

KW - Forcing

KW - Measure

KW - Nep forcing

KW - Null functions

KW - Null ideal

KW - Set theory

UR - https://www.scopus.com/pages/publications/1942441721

U2 - 10.4064/fm179-2-1

DO - 10.4064/fm179-2-1

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

AN - SCOPUS:1942441721

SN - 0016-2736

VL - 179

SP - 97

EP - 129

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 2

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this