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The complexity of squares in the group of isometries of the Baire space
Published online by Cambridge University Press: 12 March 2014
Abstract
We prove that in the Polish group of isometries of the Baire space the collection of n-th powers is non-Borel. We also prove that in the Polish space of trees on ℕ the collection of trees that have an automorphism under which every node has order exactly n is non-Borel.
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- Copyright © Association for Symbolic Logic 2012