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arXiv:math/0605558 [math.GR]AbstractReferencesReviewsResources

Consistent solution of Markov's problem about algebraic sets

Ol'ga V. Sipacheva

Published 2006-05-20, updated 2007-04-07Version 2

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.

Comments: Version 2: The proof is made much more detailed. Several misprints are corrected
Categories: math.GR, math.GN
Subjects: 22A05, 54H11
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