**Speaker**: Ron Aharoni (רון אהרוני), Technion – Israel Institute of Technology

**Date**: Mon, Sep 10, 2018

**Time**: 14:30 - 15:30

**Venue**: Middle Meeting Room

**Title**: Topology and weddings

**Abstract**:

A family $C$ of sets is called a

complexif is a closed down, namely $\alpha \in C, ~\beta \subseteq \alpha$ imply $\beta\in C$. Similarly, afilteris a family of sets that is closed up. Many combinatorial and geometric problems can be formulated in the language of choice functions whose range is required to belong to a given complex, or to a given filter. Surprisingly, topology, in particular fixed point theorems, can help in finding such choice functions.

**Slides**:
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