Polish topometric groups

  title={Polish topometric groups},
  author={Itai Ben Yaacov and Alexander Berenstein and Julien Melleray},
We define and study the notion of \emph{ample metric generics} for a Polish topological group, which is a weakening of the notion of ample generics introduced by Kechris and Rosendal in \cite{Kechris-Rosendal:Turbulence}. Our work is based on the concept of a \emph{Polish topometric group}, defined in this article. Using Kechris and Rosendal's work as a guide, we explore consequences of ample metric generics (or, more generally, ample generics for Polish topometric groups). Then we provide… CONTINUE READING


Publications referenced by this paper.

Kallman , Uniqueness results for groups of measure preserving transformations

S Alexander
  • Proceedings of the American Mathematical Society
  • 2009