This is an announcement for the paper "Global and local boundedness of Polish groups" by Christian Rosendal.
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.
Archive classification: math.FA math.GR
Mathematics Subject Classification: Primary: 22A25, Secondary: 03E15, 46B04
Submitted from: rosendal@math.uic.edu
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1203.6047
or