# 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.

OpenLearn - Surfaces
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