Surfaces and Spaces

  • Stephen Huggett
  • David Jordan


In this chapter we give a descriptive account of surfaces, of which we have already met the plane, the sphere and the torus. There are many other surfaces, shortly to be described. The essential idea is that near each of its points a surface is just like the plane.


Topological Space Good Surface Open Disc Opposite Point Klein Bottle 
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  1. 4.1
    This innocent-looking operation is very useful: it is an example of something called the attaching map and is a good way of building up more complicated spaces from simpler ones.Google Scholar
  2. 4.2
    Important examples not discussed here are the orbit spaces: see [2].Google Scholar

Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Stephen Huggett
    • 1
  • David Jordan
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of PlymouthPlymouth, DevonUK
  2. 2.Department of MathematicsUniversity of HullHullUK

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