Polish topometric groups

@inproceedings{Yaacov2013PolishTG,
  title={Polish topometric groups},
  author={Itai Ben Yaacov and Alexander Berenstein and Julien Melleray},
  year={2013}
}
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

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