Course Description

MATH 6545. Advanced Point Set Topology

Course Code MATE 6545
Course Title Advanced Point Set Topology
Credits 3
Hours 3 per week
Prerequisites MATH 6540
Description The Urysohn metrization theorem. The Tychonoff theorem. Completely regular spaces. The Stone-Čech compactification. Local finiteness. The Nagata-Smirnov metrization theorem. Paracompactness. Complete metric spaces. Compactness in metric spaces. Pointwise and compact convergence. The compact open topology. Ascoli’s theorem. Homotopy of paths. The fundamental group.
Additional Information Syllabus