MATH 871 GENERAL TOPOLOGY I (3) I. Topological spaces and topological invariants; continuous mappings and their invariants; perfect mappings; topological constructs (product, quotient, direct and inverse limit spaces). Pr.: MATH 700 and 701.

MATH 872 GENERAL TOPOLOGY II (3) II. Compact spaces and compactification, uniform and proximity spaces, metric spaces and metrization, topology of Rn, function spaces, complete spaces, introduction to homotopy theory. Pr.: MATH 871.