The complexity of the collection of measure-distal transformations

DOI10.1017/S0143385700010129zbMath0869.58032OpenAlexW2324147299MaRDI QIDQ4714425

Matthew Foreman, Ferenc Beleznay

Publication date: 4 September 1997

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700010129

zbMATH Keywords

ergodic theoryskew productmeasure-distal transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99)

Related Items (13)

Measure preserving diffeomorphisms of the torus are unclassifiable ⋮ Distal strongly ergodic actions ⋮ A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system ⋮ Real-analytic realization of uniform circular systems and some applications ⋮ An uncountable Furstenberg–Zimmer structure theory ⋮ Odometer based systems ⋮ A symbolic representation for Anosov-Katok systems ⋮ Models for measure preserving transformations ⋮ From odometers to circular systems: a global structure theorem ⋮ Kakutani equivalence of unipotent flows ⋮ The metamathematics of ergodic theory ⋮ Kakutani equivalence for products of some special flows over rotations ⋮ Loosely Bernoulli odometer-based systems whose corresponding circular systems are not loosely Bernoulli

Cites Work

• Unnamed Item
• In general a measure preserving transformation is mixing
• The Collection of Distal Flows is not Borel

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