论文标题

关于一组独特性和扩展独特性的复杂性

On the complexity of sets of uniqueness and extended uniqueness

论文作者

Paulos, João

论文摘要

对于G局部紧凑的Lie组和一组封闭的扩展唯一性u_0(g)集合,对于G连接的ABELIAN LIE GROUP,我们确定了一组封闭的独特性u(g)集合的复杂性。更具体地说,我们证明,对于EFFROS-BOREL空间,这些集合已完成。这扩展了对Case G = T的先前结果。

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.

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