Geodesic
Topological groups with Rokhlin properties
Eli Glasner1 ; Benjamin Weiss2
1 Department of Mathematics Tel Aviv University Tel Aviv, Israel
2 Institute of Mathematics Hebrew University of Jerusalem Jerusalem, Israel
Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 51-80

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

In his classical paper [Ann. of Math. 45 (1944)] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book, Lectures on Ergodic Theory, he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rokhlin. For this reason the name of Rokhlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups. In this paper we will survey some of the new developments in this area.
DOI : 10.4064/cm110-1-2
Keywords: his classical paper ann math halmos shows weak mixing generic measure preserving transformations later his book lectures ergodic theory gave streamlined proof based fundamental lemma due rokhlin reason name rokhlin has attached variety results old relating density conjugacy classes topological groups paper survey developments area

Eli Glasner 1 ; Benjamin Weiss 2

1 Department of Mathematics Tel Aviv University Tel Aviv, Israel
2 Institute of Mathematics Hebrew University of Jerusalem Jerusalem, Israel 
@article{10_4064_cm110_1_2,
     author = {Eli Glasner and Benjamin Weiss},
     title = {Topological groups with {Rokhlin} properties},
     journal = {Colloquium Mathematicum},
     pages = {51--80},
     publisher = {mathdoc},
     volume = {110},
     number = {1},
     year = {2008},
     doi = {10.4064/cm110-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm110-1-2/}
}
TY  - JOUR
AU  - Eli Glasner
AU  - Benjamin Weiss
TI  - Topological groups with Rokhlin properties
JO  - Colloquium Mathematicum
PY  - 2008
SP  - 51
EP  - 80
VL  - 110
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm110-1-2/
DO  - 10.4064/cm110-1-2
LA  - en
ID  - 10_4064_cm110_1_2
ER  - 
%0 Journal Article
%A Eli Glasner
%A Benjamin Weiss
%T Topological groups with Rokhlin properties
%J Colloquium Mathematicum
%D 2008
%P 51-80
%V 110
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm110-1-2/
%R 10.4064/cm110-1-2
%G en
%F 10_4064_cm110_1_2
Eli Glasner; Benjamin Weiss. Topological groups with Rokhlin properties. Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 51-80. doi: 10.4064/cm110-1-2

Cité par Sources :