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Topology, colloquially known as “rubber-sheet geometry”, is the study of continuity in an abstractsetting. Topological notions underpin, or are used in, many areas of mathematics, both pure and applied. In this course, we study some of the main concepts of point set topology, and provide abrief introduction to algebraic topology.The topics will cover: Metric and topological spaces; continuous functions and homeomorphism; compact and connected spaces; quotient and product topology; surfaces, manifolds and knots; homotopy, the fundamental group and applications.
Subject to approval of the Head of School.
Students must attend one activity from each section.
Assessment:Three assignments, each worth 17%Final exam, worth 49%
Recommended texts:Topology, Klaus Jänich, Springer-Verlag, 1984Basic Topology, M. A. Armstrong. Springer, 1983.Renzo’s Math490, .pdf available online.
School of Mathematics and Statistics Postgraduate Handbook
General information for students
Domestic fee $1,017.00
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