Module code:MA4144

Topology can be formally defined as the study of qualitative properties of topological spaces that are invariant under a transformation given by a continuous map, especially those properties that are invariant under a certain kind of invertible transformation, called a homeomorphism. This module will outline the basic properties of topological spaces and concepts inherent to them coming from continuous deformations, and develop your understanding of the notions of connectivity, compactness, Hausdorff property, topological equivalence. You will apply your knowledge and deepen your understanding of topology by investigating a given topic on the application of topology to a particular area, with guided project supervision, and produce a written project report outlining your results.

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