Learning outcomes

After studying this course, you should be able to:

  • explain the terms surface, surface in space, disc-like neighbourhood and half-disc-like neighbourhood
  • explain the terms n-fold torus, torus with n holes, Möbius band and Klein bottle
  • explain what is meant by the boundary of a surface, and determine the boundary number of a given surface with boundary
  • construct certain compact surfaces from a polygon by identifying edges
  • explain how a surface in space can be regarded as a topological space.