Friday, May 25, 2012, from 1:30 to 3pm

Fields Institute, Room 210

Speaker: Mike Pawliuk (Toronto)

Title: Set Theoretic attacks on Itzkowitz’ problem

Abstract:

In 1976, Gerald Itzkowitz asked if every functionally balanced group (one where every left uniformly, real-valued function is right uniformly continuous) is in fact balanced (the left uniformity and right uniformity coincide).

The answer is “Yes” for topological groups that are even a little bit nice – locally compact or metrizable or locally connected. The question is still open in general.

I will show how some large topological groups seem like good candidates for counterexamples. In particular we will look at isometry groups of large metric spaces like the Urysohn space.