JOINT COLLOQUIUM
Published on the 20 Aug 2004
Title:
Analysis of group structures induced by uniform homeomorphisms
Date: Friday, 20th August, 2004
Time: 2:00 pm
Venue: Room 3084, Red Centre, UNSW
Speaker: Professor Tony Weston (Canisius College)
Uniform homeomorphisms (that is to say, bijections which are
uniformly continuous in both directions) induce group structures
on Banach spaces that "resemble" the additive structures. These
induced group structures provide examples of uniform Banach groups,
around which a nascent theory is developing.
Analysis of uniform Banach groups sheds new light on open questions
about the classification of Banach spaces up to uniform homeomorphism.
For example, in this talk, we will detail a very general answer to a
question recently highlighted by Benyamini and Lindenstrauss: can a
non-normable topological vector space be uniformly homeomorphic to a
Banach space?