# 2016 seminar talk: The topology of filters

Talk held by Andrea Medini (KGRC) at the KGRC seminar on 2016-11-17.

### Abstract

Any collection $X$ consisting of subsets of $\omega$ can be viewed as a subspace of $2^\omega$ by identifying $X$ with the set of characteristic functions of its elements. This way, it is possible to study the interaction between the set-theoretic and the topological properties of $X$. I will give a survey of results and open questions on this topic, in the case when $X=F$ is a filter on $\omega$.