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

Kamiński, B.; Kowalski, Z.; Liardet, P.

On extremal and perfect σ-algebras for

ℤ^{d}

-actions on a Lebesgue space

Kamiński, B. ; Kowalski, Z. ; Liardet, P.

Studia Mathematica, Tome 122 (1997), p. 173-178 / Harvested from The Polish Digital Mathematics Library

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Résumé

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.

Publié le : 1997-01-01

Zbl 0882.28015

EUDML-ID : urn:eudml:doc:216406

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     title = {On extremal and perfect $\sigma$-algebras for $$\mathbb{Z}$^{d}$-actions on a Lebesgue space},
     journal = {Studia Mathematica},
     volume = {122},
     year = {1997},
     pages = {173-178},
     zbl = {0882.28015},
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Kamiński, B.; Kowalski, Z.; Liardet, P. On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space. Studia Mathematica, Tome 122 (1997) pp. 173-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv124i2p173bwm/

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