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arXiv · 2011.11489

On the complexity of sets of uniqueness and extended uniqueness

João Paulos
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Abstract

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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João Paulos. 2020-11-19. On the complexity of sets of uniqueness and extended uniqueness. https://arxiv.org/abs/2011.11489

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