We will consider the program of determining the complexity of homeomorphism relations on various subclasses of Polish spaces such as compact, locally compact, sigma-compact, manifolds etc.. We will review the known classification and non-classification results and present some new ones. In particular we show that the homeomorphism on locally compact Polish spaces is classifiable by an equivalence relation induced by a Polish group action while the one on sigma-compact Polish spaces is not. In the end we will look at some open problems.
Complexity of Homeomorphism Relations up to Borel Reducibility
30.10.2014 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25