Consistent solution of Markov's problem about algebraic sets

Mathematics – Group Theory

Scientific paper

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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.

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