Combinatorics Seminar 2018


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 complex if is a closed down, namely $\alpha \in C, ~\beta \subseteq \alpha$ imply $\beta\in C$. Similarly, a filter is 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: View slides


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