Topology studies properties of mathematical objects that are unchanged under continuous transformations. The foundations of the subject begin with a framework in which continuity can be generally defined, but this course will focus on applications of topological ideas in particular settings. Topological properties include: connectedness of a network; whether you are living in a 3 dimensional or a 2 dimensional space; the interlacing properties of a knotted pattern. The course is motivated by these ideas and will study: the topology of finite graphs, and some algebraic applications; the classification of all the 2 dimensional spaces; and the mathematical theory of knots.
Pre-requisites: Please see prerequisites under UG students Useful Links on the right hand side.
Further information: Syllabus, Number of lectures, Assessment, Learning Outcomes.
SCQF Level: 10.