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The generic automorphism of a Lebesgue space conjugate to a \(G\)-extension for any finite abelian group \(G\).

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Publication:1432373
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zbMath1044.37003MaRDI QIDQ1432373

O. N. Ageev

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

Polish spacegroup extensiongeneric transformationmeasure-preserving dynamical systems


Mathematics Subject Classification ID

General groups of measure-preserving transformations (28D15) General groups of measure-preserving transformations and dynamical systems (37A15)


Related Items (11)

Topological isomorphism for rank-1 systems ⋮ Bernoulli shifts and local density property ⋮ On some generic classes of ergodic measure preserving transformations ⋮ Generic representations of abelian groups and extreme amenability ⋮ Generic measure preserving transformations and the closed groups they generate ⋮ Generic mixing transformations are rank 1 ⋮ The complexity of squares in the group of isometries of the Baire space ⋮ Extensions of generic measure-preserving actions ⋮ On simplicity concepts for ergodic actions ⋮ A prime system with many self-joinings ⋮ Generic properties of extensions







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