# 2020 seminar talk: Invariant Ideal Axiom

Talk held by Michael Hrušák (UNAM, Mexico City, Mexico) at the KGRC seminar on 2020-12-10.

### Abstract

We shall introduce a consistent set-theoretic axiom which has a profound impact on convergence properties in topological groups. As an application we show that consistently (consequence of IIA) every countable sequential group is either metrizable or $k_\omega$.

The slides for this talk are available.

### Time and Place

Talk at 3:00pm via Zoom