Tuesday, April 26, 2016 - 14:00 to 14:50

Thackeray 427

### Abstract or Additional Information

We examine the construction of a topological group structure for the fundamental group of a space, following Jeremy Brazas's 2012 paper cited below. In doing so, we will examine some of our familiar definitions related to fundamental groups in a category theoretic context. We will also be able to show that some of our favorite basic results about the fundamental group can be realized with respect to topological groups as well.

This is a final project for Topology 2, and the presentation will be aimed towards students who have seen the fundamental group in such an introductory course. Very little category theory (beyond the basic definitions) will be assumed.

Link to paper: