Small--large subgroups of the reals
by Roslanowski and Shelah. [RoSh:1081]
We are interested in subgroups of the reals that are small in
one and large in another sense. We prove that, in ZFC, there
exists a non--meager Lebesgue null subgrooup of
R, while it is consistent there there is no
non--null meager subgroup of R .
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