Topology is also the underpinning of modern geometry.
Using topological methods we can construct a great variety of interesting geometric objects previously unimagined, and tackle formerly inaccessible questions about geometric objects such as knots and links. We discover that certain seemingly isolated curiousities such as Euler's formula for polyhedra are the tip of an iceberg of a beautiful connection between algebra and geometry. We will use Basic Topology by M. A. Armstrong, Springer-Verlag 1983. as our text. Grades in the course will be based on homeworks, class participation, quizes and a take-home final. 655 is the first of a year long sequence.