The null ideal restricted to some non-null set may be $\aleph_1$-saturated
by Shelah. [Sh:619]
Fundamenta Math, 2003
Our main result is that possibly some non-null set of reals
cannot be divided to uncountably many non-null sets. We deal also
with a non-null set of reals, the graph of any function from it is
null and deal with our iterations somewhat more generally.
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