Geodesic
Topological groups with Rokhlin properties
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
Colloquium Mathematicum, Tome 110 (2008) no. 1, pp. 51-80 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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