Logic Seminar
Aleksandra Kwiatkowska
UIUC
The group of homeomorphisms of the Cantor set has ample generics
Abstract: A topological group G has ample generics if for every m the diagonal
conjugacy action of G on G^m has a comeager orbit. I will show that the group of
homeomorphisms of the Cantor set has ample generics. This answers a question of
Kechris and Rosendal. The main tool I use is the projective Fraisse theory, which is
a dualization of the Fraisse theory from model theory.
Tea as usual at 2:30 in SEO 300.
Tuesday April 12, 2011 at 3:00 PM in SEO 612