Polish Groups Learning Seminar

Jashan Bal

Non-Archimedean Polish Groups

We consider the class of Polish non-Archimedean groups, those groups admitting a base at the identity of clopen subgroups. We give a complete characterization of these groups as those groups isomorphic to automorphism groups of countable, first-order structures. Time permitting, we will also discuss van Dantzig's theorem. References include Section 2.4 of Gao's IDST along with Chapter 1 of Becker and Kechris's DST of PGA.

MC 5403