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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

Aaron Hill
Aaron Hill*
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign,1409 W. Green St., Urbana, Il 61801, USA, E-mail: athill2@math.uiuc.edu
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 77 , Issue 1 , March 2012 , pp. 329 - 336
Copyright
Copyright © Association for Symbolic Logic 2012

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References

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