Topology
LECTURER: JV van Zyl
Prerequisites
Advanced calculus, real analysis.
Description
A topological space is a set together with a certain collection of subsets called a topology. Topological spaces provide the abstract setting for the study of continuity and convergence. The notion of completeness requires a more specialised setting called a uniform space and the connection between uniform spaces, topological spaces and metric spaces will be investigated.
Topics
Sets and functions, topological spaces, continuous maps, separation, compactness, connectedness.
Textbook
None is prescribed but a complete set of notes will be supplied.
Tutorials
One tutorial per week.
Tests/Exams
Two tests and one final examination.
