Louise Hay Logic Seminar
Phillip Wesolek
UIC
Constructible t.d.l.c. Polish groups and a question of Gao's
Abstract: The class of constructible t.d.l.c. Polish groups is the class of t.d.l.c. Polish groups which are built from profinite and discrete
groups by group extension and countable increasing union. We first explore closure properties of this class. We then use these
closure properties to show the following fact: if there is a surjectively universal t.d.l.c. Polish group, then there is a constructible
group which is surjectively universal for the class of constructible groups. This fact is a step in the direction of answering the following: (Gao) Is there a surjectively universal t.d.l.c. Polish group?
Thursday February 6, 2014 at 3:00 PM in SEO 427