### Perfectly meager sets and universally null sets

by Bartoszynski and Shelah. [BrSh:732]

Proc American Math Soc, 2002

For a set of reals X : (a) X is perfectly meager (PM) if for
every perfect set P subseteq R, P cap X is meager in
P . (b) X is universal null (UN) if every Borel isomorphic image
of X has Lebesgue measure zero.
We show that it is consistent with ZFC that PM is a subset of UN.

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