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Consistent solution of Markov's problem about algebraic sets

Ol'ga V. Sipacheva
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Abstract

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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Ol'ga V. Sipacheva. 2007-04-07. Consistent solution of Markov's problem about algebraic sets. https://arxiv.org/abs/math/0605558

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