Mathematics – Group Theory
Scientific paper
2006-05-20
Mathematics
Group Theory
Version 2: The proof is made much more detailed. Several misprints are corrected
Scientific paper
It is proved that the continuum hypothesis implies the existence of a group M
containing a nonalgebraic unconditionally closed set, i.e., a set which is
closed in any Hausdorff group topology on M but is not an intersection of
finite unions of solution sets of equations in M.
Sipacheva Ol'ga V.
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