Place: Fields Institute (Room 210)
Date: January 22 , 2016 (13:30-15:00)
Speaker: Diana Ojeda
Title: Topological partition relations for countable ordinals
The subject of topological partition relations provides answers to questions
of the following form: Given a topological space X and a subspace Y, is it
possible to reduce any given coloring of the pairs of elements of X to a simpler
coloring, by passing to a subspace homeomorphic to Y?
I will first present a survey of topological partition relations for countable
ordinals with the order topology. In many instances it is useful to represent
countable ordinals using families of finite sets. I will describe how to obtain
such representations; and will present results from a joint project with William
Weiss, where we obtain topological partition relations for ordinals below $\omega^2$ with the order topology.