Classifying invariant $\sigma $-ideals with analytic base on good Cantor measure spaces

DOI10.1090/proc/12709OpenAlexW254462655MaRDI QIDQ2789880

Robert Rałowski, Szymon Żeberski, Taras Banakh

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3922

zbMATH Keywords

invariant \(\sigma\)-idealmeasure-preserving homeomorphismgood Cantor measure space

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (1)

Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

Cites Work

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• Topologically invariant \(\sigma\)-ideals on the Hilbert cube
• Measures on Cantor sets: The good, the ugly, the bad
• Good measures on Cantor space
• Topologically invariant σ-ideals on Euclidean spaces
• Notion d'homogénéité et prolongements des homéomorphies

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