2014 seminar talk: Complexity of Homeomorphism Relations up to Borel Reducibility

Talk held by Vadim Kulikov (KGRC) at the KGRC seminar on 2014-10-30.


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.

Bottom menu

Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.