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Topology
Topology, colloquially known as ‘rubber-sheet geometry’, is the study of continuity in an abstract setting. Topological notions underpin, or are used in, many areas of mathematics, ranging from analysis to algebraic geometry and even set-theory. Accordingly, the fundamentals of point-set topology are an essential part of the training and armoury of the modern research mathematician. In this course, we introduce topological spaces and study continuity, limits, and may other important notions, in that setting. We then take first steps into uniform spaces, the general setting for notions like uniform continuity and uniform convergence.The topics will be drawn from the following: Topological spaces, continuous functions; filters and convergence; compact and connected spaces; separation properties; the Stone-Čech compactification; uniform spaces.
Subject to approval of the Head of School.
Douglas Bridges
MATH428 Homepage Mathematics and Statistics Honours Booklet
Domestic fee $788.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .