Topological groups with Rokhlin properties

• Autorzy: Eli Glasner , Benjamin Weiss
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54C40: Algebraic properties of function spaces
• 37E15: Combinatorial dynamics (types of periodic orbits)
• 22A05: Structure of general topological groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 1
• Strony: 51-80

Daty

wydano

2008

Twórcy

autor

Eli Glasner

• Department of Mathematics, Tel Aviv University, Tel Aviv, Israel

autor

Benjamin Weiss

• Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel

Identyfikatory

DOI

10.4064/cm110-1-2