Global and local boundedness of Polish groups
Functional Analysis
2012-03-28 v1 Group Theory
Abstract
We present a comprehensive theory of boundedness properties for Polish groups developed with a main focus on Roelcke precompactness (precompactness of the lower uniformity) and Property (OB) (boundedness of all isometric actions on separable metric spaces). In particular, these properties are characterised by the orbit structure of isometric actions on metric spaces and isometric or continuous affine representations on separable Banach spaces.
Keywords
Cite
@article{arxiv.1203.6047,
title = {Global and local boundedness of Polish groups},
author = {Christian Rosendal},
journal= {arXiv preprint arXiv:1203.6047},
year = {2012}
}