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

DOI10.2178/JSL/1327068706zbMath1261.03142OpenAlexW2040542194MaRDI QIDQ5388733

Aaron Hill

Publication date: 19 April 2012

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jsl/1327068706

zbMATH Keywords

Baire spacegroup of isometriesnon-Borel set

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Descriptive set theory (03E15)

Cites Work

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• The generic automorphism of a Lebesgue space conjugate to a \(G\)-extension for any finite abelian group \(G\).
• The generic transformation can be embedded in a flow.
• The Borel structure of iterates of continuous functions
• The generic transformation has roots of all orders
• The complexity of the set of squares in the homeomorphism group of the circle

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