# Hadrien Espic: Finite topological spaces

**Time: **
Fri 2019-05-10 13.00 - 14.00

**Location: **
Room 22, building 5, Kräftriket, Department of Mathematics, Stockholm University ￼

**Participating: **
Hadrien Espic

Abstract: In homotopy theory, we don't need infinite spaces. This is an overstatement, but topological spaces with a finite number of points are richer than one might think, even though they are a bit

unintuitive at first glance. After a somewhat gentle introduction to how they behave, I will explain the link they have with posets and talk about a particularly interesting result regarding the homotopy theory of

finite spaces."