Consistent solution of Markov's problem about algebraic sets

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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.
Version 2: The proof is made much more detailed. Several misprints are corrected

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Group Theory, General Topology, 22A05 (Primary); 54H11 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/126977

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605558
 http://arxiv.org/abs/math/0605558

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arXiv