MTH 423 - Elementary Topology of the Linear Continuum.
MTH 200 with a grade of C (2.0) or better; consent of instructor. (3).
Axiomatic development of the topological properties of the linear continuum without consideration of an algebraic structure. Neighborhoods, open sets, limit points, Bolzano-Weierstrass property, Heine-Borel property, category, Cantor-Bendixson theorem. Proofs presented by the students. Not offered every semester; see www.umflint.edu/math.