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arXiv 2011.11489math.FAmath.GRmath.LOmath.OA
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关于唯一性集和扩展唯一性集的复杂性

On the complexity of sets of uniqueness and extended uniqueness

João Paulos

摘要:

本文给出了局部紧李群的唯一闭集集U(G)的复杂度和G连通交换李群的扩张唯一闭集U_0(G)的复杂度。更具体地说,我们证明了关于Effros-Borel空间,这些集是共解析完备的。这推广了以前对G=T的情形所得到的结果。

英文摘要:

We locate the complexity of the set of closed sets of uniqueness U(G), for G locally compact Lie group and of the set of closed sets of extended uniqueness U_0(G), for G connected abelian Lie group. More concretely, we prove that with respect to the Effros-Borel space, these sets are coanalytic complete. This extends previous results obtained for the case G=T.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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