Journal of Symbolic Logic

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

Aaron Hill

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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.

Article information

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

Dates
First available in Project Euclid: 20 January 2012

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1327068706

Digital Object Identifier
doi:10.2178/jsl/1327068706

Mathematical Reviews number (MathSciNet)
MR2951644

Zentralblatt MATH identifier
1261.03142

Citation

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. https://projecteuclid.org/euclid.jsl/1327068706


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