MTH 523 - Elementary Topology of the Linear Continuum.

Admission to Mathematics MA Program. (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 open to students with credit for MTH 423.