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

Saharon Shelah. "The null ideal restricted to some non-null set may be ℵ₁-saturated." Fundamenta Mathematicae 179.2 (2003): 97-129. <http://eudml.org/doc/283360>.

@article{SaharonShelah2003,
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 real, the graph of any function from which is null, and deal with our iterations somewhat more generally.},
author = {Saharon Shelah},
journal = {Fundamenta Mathematicae},
keywords = {set theory; FS iteration; null ideal; measure; -saturated ideal; null functions; nep forcing; iterated forcing; random reals; Cohen reals},
language = {eng},
number = {2},
pages = {97-129},
title = {The null ideal restricted to some non-null set may be ℵ₁-saturated},
url = {http://eudml.org/doc/283360},
volume = {179},
year = {2003},
}

TY - JOUR
AU - Saharon Shelah
TI - The null ideal restricted to some non-null set may be ℵ₁-saturated
JO - Fundamenta Mathematicae
PY - 2003
VL - 179
IS - 2
SP - 97
EP - 129
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 real, the graph of any function from which is null, and deal with our iterations somewhat more generally.
LA - eng
KW - set theory; FS iteration; null ideal; measure; -saturated ideal; null functions; nep forcing; iterated forcing; random reals; Cohen reals
UR - http://eudml.org/doc/283360
ER -