20 Credits ACADEMIC YEAR



Aims/Description: This will be a first course on algebraic topology, following on from the introduction to topology given in the Level 3 course Metric spaces. Topology studies the shape of space, with examples such as spheres, the Mobius Band, the Klein bottle, the torus and other surfaces. The first task is to formalise this notion of space, and then the challenge is to work out when a given space can be smoothly deformed into another, where stretching and bending is allowed, but cutting and glueing is not. Algebraic topology builds a powerful bridge between space and algebra, enabling us to use familiar algebraic techniques from group theory to study spaces and their deformations.

Restrictions on availability: Only available to postgraduate students.

Staff Contact: STRICKLAND NEIL P
Teaching Methods: Lectures, Independent Study
Assessment: Formal Exam, Classroom testing

Information on the department responsible for this unit (Mathematics and Statistics):

Departmental Home Page
Teaching timetable

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NOTE
The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

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Teaching methods and assessment displayed on this page are indicative for 2021-22. Students will be informed by the academic department of any changes made necessary by the ongoing pandemic.

Western Bank, Sheffield, S10 2TN, UK