On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space
Studia Mathematica, Tome 124 (1997) no. 2, pp. 173-178

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-124-2-173-178

B. Kamiński 1 ;  1 ;  1

1
@article{10_4064_sm_124_2_173_178,
     author = {B. Kami\'nski and   and  },
     title = {On extremal and perfect \ensuremath{\sigma}-algebras for $\ensuremath{\mathbb{Z}}^{d}$-actions on a {Lebesgue} space},
     journal = {Studia Mathematica},
     pages = {173--178},
     publisher = {mathdoc},
     volume = {124},
     number = {2},
     year = {1997},
     doi = {10.4064/sm-124-2-173-178},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-124-2-173-178/}
}
TY  - JOUR
AU  - B. Kamiński
AU  -  
AU  -  
TI  - On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space
JO  - Studia Mathematica
PY  - 1997
SP  - 173
EP  - 178
VL  - 124
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-124-2-173-178/
DO  - 10.4064/sm-124-2-173-178
LA  - fr
ID  - 10_4064_sm_124_2_173_178
ER  - 
%0 Journal Article
%A B. Kamiński
%A  
%A  
%T On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space
%J Studia Mathematica
%D 1997
%P 173-178
%V 124
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-124-2-173-178/
%R 10.4064/sm-124-2-173-178
%G fr
%F 10_4064_sm_124_2_173_178
B. Kamiński;  ;  . On extremal and perfect σ-algebras for $ℤ^{d}$-actions on a Lebesgue space. Studia Mathematica, Tome 124 (1997) no. 2, pp. 173-178. doi: 10.4064/sm-124-2-173-178

Cité par Sources :