Student: Nicole Trommelen*
Mentor: Andrew Lazowski
In this talk we will enter the world of topology. We will look at what a topology is, and some of the different types of topologies. Then we will begin to look at how some of the things we have learned in calculus relate to some different topological definitions. We will look at limits vs limit points and two different definitions of continuity, which we may later find out are not all that different after all. Finally we will use what we have learned to look at the proof of the Intermediate Value Theorem from a topological standpoint.