IN PERSON: How can you tell if our universe is infinite or finite? Curved or flat? Why are donuts and coffee cups topologically equivalent? What is a torus? A Klein bottle? Starting with one-dimensional and two-dimensional universes and ending with three dimensions, we will investigate various properties of a universe and how a person embedded in a universe can discover certain topological properties about it. This lecture-based course assumes participants have very basic knowledge of mathematics. We will approach topology in a conceptual and qualitative manner with lots of diagrams. We will also investigate the impact of various topologies on familiar games such as tic-tac-toe and chess. Students will learn about intrinsic and extrinsic properties, manifolds, orientability and other topological properties, as we explore the weird and crazy world of topology. | Lecture + Q&A.
Max enrollment: 30.
Location: Judea Reform Congregation, 1933 W. Cornwallis Rd, Durham NC 27705
Frank Brown celebrated his retirement by obtaining an M.A. in mathematics from East Carolina University. He has been teaching mathematics courses for OLLI since 2016. His previous OLLI course topics include the Fibonacci numbers, the mathematics of voting, the history of calculus and cryptography. Frank is a graduate of Duke with a B.S. in chemistry.