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 1D and 2D universes and ending with 3D, we investigate various properties of a universe and how a person embedded in a universe can discover certain topological properties. The class assumes almost no knowledge of mathematics and approaches topology in a conceptual and qualitative manner with lots of diagrams. We investigate the impact of various topologies on familiar games such as tic-tac-toe. Learn about intrinsic and extrinsic properties, manifolds, orient ability, and other topological properties as we explore the weird and crazy world of topology. Lecture (plus Questions); Facilitated Discussion
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2402 - 001 - Geometric Topology
FRANK BROWN has a Master’s degree in mathematics (Eastern Carolina University) and a Ph.D. in organic chemistry (Caltech). Earlier he received a BS from Duke University. Frank worked almost 20 years at DuPont first as a research chemist and then as a systems analyst, then almost 10 years at Computer Sciences Corporation as a systems analyst. He retired when his job "migrated" to India.