Consistent solution of Markov's problem about algebraic sets
Group Theory
2007-05-23 v2 General Topology
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.
Cite
@article{arxiv.math/0605558,
title = {Consistent solution of Markov's problem about algebraic sets},
author = {Ol'ga V. Sipacheva},
journal= {arXiv preprint arXiv:math/0605558},
year = {2007}
}
Comments
Version 2: The proof is made much more detailed. Several misprints are corrected