MTH 423 - Elementary Topology of the Linear Continuum

MTH 200 with a grade of C (20) 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. Usually offered in the Winter of even-numbered years.