Ambitable topological groups

Details Ambitable topological groups Ambitable topological groups

2008-03-24

arxiv.org/abs/0803.3405v4

Topology Appl. 156, 13 (2009) 2200-2208

Mathematics

Functional Analysis

LaTeX; 12 pages; Changes in versions 2 and 3: New Theorem 3.3 and improvements enabled by it; Changes in version 4: Correction

Scientific paper

10.1016/j.topol.2009.05.001

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.

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