Consistent solution of Markov's problem about algebraic sets

Consistent solution of Markov's problem about algebraic sets
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代数集马尔可夫问题的一致解

DOI:
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发表时间:
2006
期刊:
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通讯作者:
O. Sipacheva
O. Sipacheva
中科院分区:
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文献类型:
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作者:
O. Sipacheva

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证明了连续统假设蕴含着群M的存在性,群M包含一个非代数的无条件闭集,即,在M上的任何Hausdorff群拓扑中是封闭的,但不是M中方程解集的有限并集的交集的集合。
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.