Journal of Symbolic Logic

The complexity of squares in the group of isometries of the Baire space

Aaron Hill

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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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J. Symbolic Logic, Volume 77, Issue 1 (2012), 329-336.

First available in Project Euclid: 20 January 2012

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Hill, Aaron. The complexity of squares in the group of isometries of the Baire space. J. Symbolic Logic 77 (2012), no. 1, 329--336. doi:10.2178/jsl/1327068706.

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