Kurt Gödel Research Center

2019 seminar talk: Complexity of the homeomorphism relation between compact spaces

Talk held by Benjamin Vejnar (Charles University, Prague, Czech Republic) at the KGRC seminar on 2019-01-24.

Abstract

We study the complexity of the homeomorphism relation of compact metrizable spaces when restricted to some subclasses such as continua, regular continua or regular compacta. The complexity of an equivalence relation on a Polish space is compared with some others (e.g. with the universal orbit equivalence relation) using the notion of Borel reducibility.

A video recording of this talk is available on YouTube.