Small-large subgroups of the reals
classification
🧮 math.LO
keywords
thererealssubgroupsanotherexistsinterestedisconsistentlarge
read the original abstract
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 isconsistent there there is no non-null meager subgroup of R.
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