On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space

• Autorzy: B. Kamiński , Z. S. Kowalski , P. Liardet
• Języki publikacji: EN

Abstrakty

EN

We show that for every positive integer d there exists a $ℤ^d$-action and an extremal σ-algebra of it which is not perfect.

Kategorie tematyczne

• 28D15: General groups of measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1997
• Tom: 124
• Numer: 2
• Strony: 173-178

Daty

wydano

1997

otrzymano

1996-08-27

poprawiono

1996-12-06

Twórcy

autor

B. Kamiński

• Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

Z. S. Kowalski

• Institute of Mathematics, Wrocław Technical University, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

P. Liardet

• Université de Provence, Centre de Mathématiques et d'Informatique, 39, Rue Joliot Curie, F-13453 Marseille Cedex 13, France

Bibliografia

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