LECTURER: JV van Zyl
Advanced calculus, real analysis.
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.
Sets and functions, topological spaces, continuous maps, separation, compactness, connectedness.
None is prescribed but a complete set of notes will be supplied.
One tutorial per week.
Two tests and one final examination.