Ends of spaces part II

Last time, we looked at the notion of the ends of a space and studied the properties of the corresponding end compactified space. We finished by visiting a major result derived by Freudenthal, the originator of the notion of ends. This week, we plan to look into an equivalent definition of ends for the case of geodesic metric spaces. By doing so, we aspire to associate such a space to every finitely generated group and study the ends of the space to categorize its associated group in a useful way. Time permitting, we will END 👀 by proving an important theorem in geometric group theory.

-Panith Thiruvenkatasamy