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Topology
Topology, colloquially known as ‘rubber-sheet geometry’, is the study of space and continuity in an abstract setting. 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 an introduction to algebraic topology. The topics will cover: Metric and topological spaces; continuous functions and homeomorphisms; compact and connected spaces; quotient and product topology; surfaces, manifolds and knots; homotopy and basic algebraic topology, along with applications.
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
Employable, innovative and enterprising
Students will develop key skills and attributes sought by employers that can be used in a range of applications.
Globally aware
Students will comprehend the influence of global conditions on their discipline and will be competent in engaging with global and multi-cultural contexts.
Subject to approval of the Head of School.
Students must attend one activity from each section.
Mike Steel
Library portalLearn Mathematics and Statistics Postgraduate
Domestic fee $1,138.00
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 .