MATH 423(F) Algebraic Topology

How can you be sure that a sphere is really different from a torus (the surface of a doughnut)? Algebraic topology utilizes algebraic objects in order to distinguish geometric objects. The course will include an introduction to both homotopy and homology theory. Fundamental groups, covering spaces and homology groups will be discussed. Evaluation will be based primarily on performance on problem assignments and examinations. Prerequisites: Mathematics 301 or 324 and one of Mathematics 312, 315, 317; or permission of instructor.

Hour: CALVO