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Consistent solution of Markov's problem about algebraic sets

Research paper by Ol'ga V. Sipacheva

Indexed on: 07 Apr '07Published on: 07 Apr '07Published in: Mathematics - Group Theory



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.