Surfaces
Surfaces

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Free course

Surfaces

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.

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