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Topology, colloquially known as ‘rubber-sheet geometry’, is the study of continuity in anabstract setting. Topological notions underpin, or are used in, many areas ofmathematics, both pure and applied. In this course, we study some of the main conceptsof point set topology, and provide an introduction to algebraic topology.Syllabus/TopicsThe topics will cover: Metric and topological spaces; continuous functions andhomeomorphisms; compact and connected spaces; quotient and product topology;surfaces, manifolds and knots; homotopy and basic algebraic topology (the fundamentalgroup) along with applications.Academic integrityIt is the responsibility of each student to be familiar with the definitions, policies and proceduresconcerning academic misconduct/dishonest behaviour. Instances of academic misconduct will bedealt with in a serious and appropriate manner.
Subject to approval of the Head of School.
Students must attend one activity from each section.
Three assignments (each worth 17%) and a final test (2 hours) worth 49%.Late work and missed testIn rare situations, you may miss a test, or be unable to submit work to deadlines. Inthese situations, please inform your course coordinator within 48 hours of the test dateor deadline. Late work may not be accepted.
Armstrong, M. A;
Office Hours | Wā TariBy appointment
Domestic fee $1,074.00
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