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MATH306 Topology

10 cp
Prerequisites 20 cp from 200-level MATH units
Teaching Organisation 4 hours per week for twelve weeks or equivalent.

Topology is now accepted as a branch of mathematics in its own right; ideas from topology give insight into fundamental ideas of calculus. Topology is described as “rubber sheet geometry” because it is concerned with properties of figures which remain invariant under “elastic” transformations, that is, under continuous mappings. We first compare Euclidean invariants and transformations with those of topology, then increasingly generalise from Euclidean spaces to metric spaces to topological spaces; topics include open and closed sets, homeomorphisms and properties which are invariant under homeomorphisms.

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