MATH 6540

Topology of the line and of the plane. Abstract topological spaces. Subspaces, Relative topology Bases and sub-bases. Continuity. Topological equivalence. Metric spaces. Product topology. Quotient spaces. Separation axioms. Hausdorff spaces. Compact spaces Related spaces. Complete metric spaces. Function spaces. Syllabus Here Calendar Here Topics

MATH 6551

The study of topological problems with algebraic methods. Introduction to category theory and functors. Homology and homotopy theory. Syllabus Here. Course Calendar Here.