Ambitable topological groups
Functional Analysis
2009-07-15 v4 General Topology
Abstract
A topological group is said to be ambitable if each uniformly bounded uniformly equicontinuous set of functions on the group with its right uniformity is contained in an ambit. For n=0,1,2,..., every locally aleph_n bounded topological group is either precompact or ambitable. In the familiar semigroups constructed over ambitable groups, topological centres have an effective characterization.
Cite
@article{arxiv.0803.3405,
title = {Ambitable topological groups},
author = {Jan Pachl},
journal= {arXiv preprint arXiv:0803.3405},
year = {2009}
}
Comments
LaTeX; 12 pages; Changes in versions 2 and 3: New Theorem 3.3 and improvements enabled by it; Changes in version 4: Corrections for Theorems 4.9 and 4.10, added 1 reference